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Elliott H. Lieb - Publications

Affiliations: 
1975- Mathematics Princeton University, Princeton, NJ 
Area:
Mathematical Physics
Website:
https://web.math.princeton.edu/~lieb/
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Year Citation  Score
2020 Lewin M, Lieb EH, Seiringer R. The local density approximation in density functional theory Arxiv: Mathematical Physics. 2: 35-73. DOI: 10.2140/Paa.2020.2.35  0.328
2019 Lewin M, Lieb EH, Seiringer R. Floating Wigner crystal with no boundary charge fluctuations Physical Review B. 100: 35127. DOI: 10.1103/Physrevb.100.035127  0.327
2018 Lieb EH, Rougerie N, Yngvason J. Rigidity of the Laughlin Liquid. Journal of Statistical Physics. 172: 544-554. PMID 30996472 DOI: 10.1007/S10955-018-2082-1  0.338
2018 Carlen EA, Frank RL, Lieb EH. Inequalities for quantum divergences and the Audenaert–Datta conjecture Journal of Physics A. 51: 483001. DOI: 10.1088/1751-8121/Aae8A3  0.31
2018 Lieb EH, Rougerie N, Yngvason J. Local incompressibility estimates for the Laughlin phase Communications in Mathematical Physics. 365: 431-470. DOI: 10.1007/S00220-018-3181-1  0.39
2016 Carlen EA, Lieb EH, Reuvers R. Entropy and Entanglement Bounds for Reduced Density Matrices of Fermionic States Communications in Mathematical Physics. 344: 655-671. DOI: 10.1007/S00220-016-2651-6  0.361
2016 Lieb EH, Solovej JP. Proof of the Wehrl-type Entropy Conjecture for Symmetric SU(N) Coherent States Communications in Mathematical Physics. 1-12. DOI: 10.1007/S00220-016-2596-9  0.314
2015 Frank RL, Lieb EH. A compactness lemma and its application to the existence of minimizers for the liquid drop model Siam Journal On Mathematical Analysis. 47: 4436-4450. DOI: 10.1137/15M1010658  0.332
2015 Lewin M, Lieb EH. Improved Lieb-Oxford exchange-correlation inequality with a gradient correction Physical Review a - Atomic, Molecular, and Optical Physics. 91. DOI: 10.1103/Physreva.91.022507  0.378
2015 Giuliani A, Lieb EH. Columnar phase in quantum dimer models Journal of Physics a: Mathematical and Theoretical. 48. DOI: 10.1088/1751-8113/48/23/235203  0.318
2015 Benguria RD, Frank RL, Lieb EH. Ground state energy of large polaron systems Journal of Mathematical Physics. 56. DOI: 10.1063/1.4908125  0.365
2014 Lieb EH, Yngvason J. Entropy meters and the entropy of non-extensive systems. Proceedings. Mathematical, Physical, and Engineering Sciences / the Royal Society. 470: 20140192. PMID 25002830 DOI: 10.1098/Rspa.2014.0192  0.317
2014 Frank RL, Lewin M, Lieb EH, Seiringer R. Strichartz inequality for orthonormal functions Journal of the European Mathematical Society. 16: 1507-1526. DOI: 10.4171/Jems/467  0.312
2014 Li Y, Lieb EH, Wu C. Exact results for itinerant ferromagnetism in multiorbital systems on square and cubic lattices Physical Review Letters. 112. DOI: 10.1103/Physrevlett.112.217201  0.347
2014 Carlen EA, Lieb EH. Remainder terms for some quantum entropy inequalities Journal of Mathematical Physics. 55. DOI: 10.1063/1.4871575  0.354
2014 Lieb EH, Solovej JP. Proof of an entropy conjecture for Bloch coherent spin states and its generalizations Acta Mathematica. 212: 379-398. DOI: 10.1007/S11511-014-0113-6  0.349
2014 Lieb EH, Seiringer R. Equivalence of Two Definitions of the Effective Mass of a Polaron Journal of Statistical Physics. 154: 51-57. DOI: 10.1007/S10955-013-0791-Z  0.349
2014 Giuliani A, Lieb EH, Seiringer R. Formation of Stripes and Slabs Near the Ferromagnetic Transition Communications in Mathematical Physics. 331: 333-350. DOI: 10.1007/S00220-014-1923-2  0.358
2013 Lieb EH, Yngvason J. The entropy concept for non-equilibrium states. Proceedings. Mathematical, Physical, and Engineering Sciences / the Royal Society. 469: 20130408. PMID 24101892 DOI: 10.1098/Rspa.2013.0408  0.362
2013 Frank RL, Lewin M, Lieb EH, Seiringer R. A positive density analogue of the lieb-thirring inequality Duke Mathematical Journal. 162: 435-495. DOI: 10.1215/00127094-2019477  0.349
2013 Giuliani A, Lieb EH, Seiringer R. Realization of stripes and slabs in two and three dimensions Physical Review B - Condensed Matter and Materials Physics. 88. DOI: 10.1103/Physrevb.88.064401  0.367
2013 Lieb EH, Schrader R. Current densities in density-functional theory Physical Review a - Atomic, Molecular, and Optical Physics. 88. DOI: 10.1103/Physreva.88.032516  0.327
2013 Carlen EA, Lebowitz JL, Lieb EH. On an extension problem for density matrices Journal of Mathematical Physics. 54. DOI: 10.1063/1.4808218  0.321
2013 Frank RL, Lieb EH. Extended Quantum Conditional Entropy and Quantum Uncertainty Inequalities Communications in Mathematical Physics. 323: 487-495. DOI: 10.1007/S00220-013-1775-1  0.335
2013 Frank RL, Lieb EH, Seiringer R. Symmetry of Bipolaron Bound States for Small Coulomb Repulsion Communications in Mathematical Physics. 319: 557-573. DOI: 10.1007/S00220-012-1604-Y  0.348
2012 Frank RL, Lieb EH. Sharp constants in several inequalities on the Heisenberg group Annals of Mathematics. 176: 349-381. DOI: 10.4007/Annals.2012.176.1.6  0.31
2012 Carlen EA, Lieb EH. Bounds for Entanglement via an Extension of Strong Subadditivity of Entropy Letters in Mathematical Physics. 101: 1-11. DOI: 10.1007/S11005-012-0565-6  0.368
2012 Frank RL, Lieb EH, Seiringer R. Binding of Polarons and Atoms at Threshold Communications in Mathematical Physics. 313: 405-424. DOI: 10.1007/S00220-012-1436-9  0.33
2012 Lieb EH, Yang Y. Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods Communications in Mathematical Physics. 313: 445-478. DOI: 10.1007/S00220-012-1433-Z  0.348
2012 Frank RL, Lieb EH. Entropy and the Uncertainty Principle Annales Henri Poincare. 13: 1711-1717. DOI: 10.1007/S00023-012-0175-Y  0.35
2011 Frank RL, Lewin M, Lieb EH, Seiringer R. Energy cost to make a hole in the Fermi sea. Physical Review Letters. 106: 150402. PMID 21568533 DOI: 10.1103/Physrevlett.106.150402  0.313
2011 Frank RL, Lieb EH, Seiringer R, Thomas LE. Binding, Stability, and Non-binding of Multi-polaron Systems Arxiv: Strongly Correlated Electrons. 21-32. DOI: 10.1142/9789814350365_0002  0.359
2011 Giuliani A, Lebowitz JL, Lieb EH. Checkerboards, stripes, and corner energies in spin models with competing interactions Physical Review B - Condensed Matter and Materials Physics. 84. DOI: 10.1103/Physrevb.84.064205  0.369
2011 Frank RL, Lieb EH, Seiringer R, Thomas LE. Stability and absence of binding for multi-polaron systems Publications Mathematiques De L'Institut Des Hautes Etudes Scientifiques. 113: 39-67. DOI: 10.1007/S10240-011-0031-5  0.34
2010 Frank RL, Lieb EH. Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality Calculus of Variations and Partial Differential Equations. 39: 85-99. DOI: 10.1007/S00526-009-0302-X  0.304
2009 Carlen EA, Lieb EH. Short proofs of theorems of mirsky and horn on diagonals and eigenvalues of matrices Electronic Journal of Linear Algebra. 18: 438-441. DOI: 10.13001/1081-3810.1323  0.322
2009 Giuliani A, Lebowitz JL, Lieb EH. Modulated phases of a one-dimensional sharp interface model in a magnetic field Physical Review B - Condensed Matter and Materials Physics. 80. DOI: 10.1103/Physrevb.80.134420  0.366
2009 Lieb EH, Seiringer R, Yngvason J. Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime Physical Review a - Atomic, Molecular, and Optical Physics. 79. DOI: 10.1103/Physreva.79.063626  0.38
2009 Giuliani A, Lebowitz JL, Lieb EH. Periodic minimizers in 1D local mean field theory Communications in Mathematical Physics. 286: 163-177. DOI: 10.1007/S00220-008-0589-Z  0.357
2009 Jansen S, Lieb EH, Seiler R. Symmetry breaking in Laughlin's state on a cylinder Communications in Mathematical Physics. 285: 503-535. DOI: 10.1007/S00220-008-0576-4  0.325
2008 Carlen EA, Lieb EH. A Minkowski type trace inequality and strong subadditivity of quantum entropy II: Convexity and concavity Letters in Mathematical Physics. 83: 107-126. DOI: 10.1007/S11005-008-0223-1  0.303
2008 Jansen S, Lieb EH, Seiler R. Laughlin's function on a cylinder: Plasma analogy and representation as a quantum polymer Physica Status Solidi (B) Basic Research. 245: 439-446. DOI: 10.1002/Pssb.200743516  0.306
2007 Giuliani A, Lebowitz JL, Lieb EH. Striped phases in two-dimensional dipole systems Physical Review B - Condensed Matter and Materials Physics. 76. DOI: 10.1103/Physrevb.76.184426  0.335
2007 Frank RL, Lieb EH, Seiringer R, Siedentop H. Müller's exchange-correlation energy in density-matrix-functional theory Physical Review a - Atomic, Molecular, and Optical Physics. 76. DOI: 10.1103/Physreva.76.052517  0.36
2007 Lieb EH, Seiringer R, Yngvason J. Bose-Einstein Condensation and Spontaneous Symmetry Breaking1 Reports On Mathematical Physics. 59: 389-399. DOI: 10.1016/S0034-4877(07)80074-7  0.324
2007 Frank RL, Lieb EH, Seiringer R. Number of bound states of schrödinger operators with matrix-valued potentials Letters in Mathematical Physics. 82: 107-116. DOI: 10.1007/S11005-007-0211-X  0.329
2006 Bach V, Lieb EH, Travaglia MV. Ferromagnetism of the hubbard model at strong coupling in the hartree-fock approximation Reviews in Mathematical Physics. 18: 519-543. DOI: 10.1142/S0129055X06002735  0.378
2006 Giuliani A, Lebowitz JL, Lieb EH. Ising models with long-range antiferromagnetic and short-range ferromagnetic interactions Physical Review B - Condensed Matter and Materials Physics. 74. DOI: 10.1103/Physrevb.74.064420  0.343
2006 Lieb EH, Seiringer R. Derivation of the gross-pitaevskii equation for rotating bose gases Communications in Mathematical Physics. 264: 505-537. DOI: 10.1007/S00220-006-1524-9  0.353
2006 Aizenman M, Lieb EH, Seiringer R, Solovej JP, Yngvason J. Bose-Einstein condensation as a quantum phase transition in an optical lattice Lecture Notes in Physics. 690: 199-215. DOI: 10.1007/3-540-34273-7_16  0.627
2005 Lieb EH, Seiringer R, Yngvason J. Justification of c-number substitutions in bosonic Hamiltonians. Physical Review Letters. 94: 080401. PMID 15783867 DOI: 10.1103/Physrevlett.94.080401  0.352
2005 Lieb EH. Thomas-fermi and related theories of atoms and molecules Tthe Stability of Matter: From Atoms to Stars: Fourth Edition. 263-301. DOI: 10.1103/Revmodphys.53.603  0.302
2005 Lieb EH, Thirring WE. Bound for the kinetic energy of fermions which proves the stability of matter Tthe Stability of Matter: From Atoms to Stars: Fourth Edition. 401-404. DOI: 10.1103/Physrevlett.35.687  0.364
2005 Lebowitz JL, Lieb EH. Existence of thermodynamics for real matter with coulomb forces Tthe Stability of Matter: From Atoms to Stars: Fourth Edition. 579-582. DOI: 10.1103/Physrevlett.22.631  0.307
2005 Lieb EH, Seiringer R. Stronger subadditivity of entropy Physical Review a - Atomic, Molecular, and Optical Physics. 71. DOI: 10.1103/Physreva.71.062329  0.317
2005 Lieb EH, Seiringer R, Solovej JP. Ground-state energy of the low-density Fermi gas Physical Review a - Atomic, Molecular, and Optical Physics. 71. DOI: 10.1103/Physreva.71.053605  0.373
2005 Lieb EH, Seiringer R, Yngvason J. Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional The Stability of Matter: From Atoms to Stars: Fourth Edition. 759-771. DOI: 10.1103/Physreva.61.043602  0.377
2005 Aizenman M, Lieb EH. On semi-classical bounds for eigenvalues of schrödinger operators The Stability of Matter: From Atoms to Stars: Fourth Edition. 241-243. DOI: 10.1016/0375-9601(78)90385-7  0.601
2005 Benguria R, Lieb EH. Many-body atomic potentials in Thomas-Fermi theory The Stability of Matter: From Atoms to Stars: Fourth Edition. 317-328. DOI: 10.1016/0003-4916(78)90140-9  0.322
2005 Griesemer M, Lieb EH, Loss M. Ground states in non-relativistic quantum electrodynamics The Stability of Matter: From Atoms to Stars: Fourth Edition. 625-663. DOI: 10.1007/S002220100159  0.366
2005 Lieb EH, Loss M. Stability of a model of relativistic quantum electrodynamics The Stability of Matter: From Atoms to Stars: Fourth Edition. 723-750. DOI: 10.1007/S002200200665  0.357
2005 Lieb EH, Solovej JP. Ground state energy of the one-component charged Bose gas Tthe Stability of Matter: From Atoms to Stars: Fourth Edition. 809-847. DOI: 10.1007/S002200000353  0.348
2005 Lieb EH, Loss M. The thermodynamic limit for matter interacting with Coulomb forces and with the quantized electromagnetic field: I. The lower bound Communications in Mathematical Physics. 258: 675-695. DOI: 10.1007/S00220-005-1365-Y  0.36
2005 Lieb EH, Solovej JP. Ground state energy of the two-component charged Bose gas Tthe Stability of Matter: From Atoms to Stars: Fourth Edition. 849-898. DOI: 10.1007/S00220-004-1144-1  0.35
2005 Lieb EH, Siedentop H, Solovej JP. Stability and instability of relativistic electrons in classical electromagnetic fields The Stability of Matter: From Atoms to Stars: Fourth Edition. 535-557. DOI: 10.1007/Bf02770753  0.333
2005 Conlon JG, Lieb EH, Yau HT. The N7/5 law for charged bosons The Stability of Matter: From Atoms to Stars: Fourth Edition. 777-808. DOI: 10.1007/Bf01229202  0.351
2005 Lieb EH, Sigal IM, Simon B, Thirring W. Approximate neutrality of large-Z ions Tthe Stability of Matter: From Atoms to Stars: Fourth Edition. 103-112. DOI: 10.1007/Bf01224904  0.308
2005 Lieb EH, Loss M. Stability of coulomb systems with magnetic fields: II. The many-electron atom and the one-electron molecule Tthe Stability of Matter: From Atoms to Stars: Fourth Edition. 425-436. DOI: 10.1007/Bf01211594  0.311
2005 Fröhlich J, Lieb EH, Loss M. Stability of coulomb systems with magnetic fields: I. The one-electron atom The Stability of Matter: From Atoms to Stars: Fourth Edition. 405-424. DOI: 10.1007/Bf01211593  0.323
2005 Iantchenko A, Lieb EH, Siedentop H. Proof of a conjecture about atomic and molecular cores related to Scott's correction Tthe Stability of Matter: From Atoms to Stars: Fourth Edition. 127-145. DOI: 10.1007/978-3-662-04360-8_12  0.37
2005 Lieb EH. The N5/3 law for bosons The Stability of Matter: From Atoms to Stars: Fourth Edition. 773-775. DOI: 10.1007/978-3-662-02725-7_25  0.309
2005 Lieb EH. Bound on the maximum negative ionization of atoms and molecules Tthe Stability of Matter: From Atoms to Stars: Fourth Edition. 91-101. DOI: 10.1007/3-540-27056-6_8  0.344
2005 Benguria R, Lieb EH. Proof of the stability of highly negative ions in the absence of the pauli principle The Stability of Matter: From Atoms to Stars: Fourth Edition. 83-86. DOI: 10.1007/3-540-27056-6_6  0.304
2005 Lieb EH, Yngvason J. Ground state energy of the low density bose gas Tthe Stability of Matter: From Atoms to Stars: Fourth Edition. 755-758. DOI: 10.1007/3-540-27056-6_46  0.363
2005 Lieb EH, Loss M. A bound on binding energies and mass renormalization in models of quantum electrodynamics The Stability of Matter: From Atoms to Stars: Fourth Edition. 709-721. DOI: 10.1007/3-540-27056-6_43  0.356
2005 Lieb EH, Loss M. Existence of atoms and molecules in non-relativistic quantum electrodynamics Tthe Stability of Matter: From Atoms to Stars: Fourth Edition. 665-708. DOI: 10.1007/3-540-27056-6_42  0.348
2005 Lieb EH, Oxford S. Improved lower bound on the indirect coulomb energy The Stability of Matter: From Atoms to Stars: Fourth Edition. 65-77. DOI: 10.1007/3-540-27056-6_4  0.323
2005 Lieb EH, Yau HT. The stability and instability of relativistic matter Tthe Stability of Matter: From Atoms to Stars: Fourth Edition. 485-521. DOI: 10.1007/3-540-27056-6_34  0.354
2005 Benguria R, Lieb EH. The most negative ion in the Thomas-Fermi-von Weizsäcker theory of atoms and molecules Tthe Stability of Matter: From Atoms to Stars: Fourth Edition. 383-397. DOI: 10.1007/3-540-27056-6_27  0.304
2005 Benguria R, Brezis H, Lieb EH. The Thomas-Fermi-von Weizsäcker theory of atoms and molecules The Stability of Matter: From Atoms to Stars: Fourth Edition. 357-370. DOI: 10.1007/3-540-27056-6_25  0.332
2005 Lieb EH, Simon B. The hartree-fock theory for coulomb systems The Stability of Matter: From Atoms to Stars: Fourth Edition. 303-312. DOI: 10.1007/3-540-27056-6_21  0.324
2005 Lieb EH. Variational principle for many-fermion systems The Stability of Matter: From Atoms to Stars: Fourth Edition. 257-260. DOI: 10.1007/3-540-27056-6_19  0.305
2005 Lieb EH. Kinetic energy bounds and their application to the stability of matter The Stability of Matter: From Atoms to Stars: Fourth Edition. 193-204. DOI: 10.1007/3-540-27056-6_15  0.307
2004 Aizenman M, Lieb EH, Seiringer R, Solovej JP, Yngvason J. Bose-Einstein quantum phase transition in an optical lattice model Physical Review a - Atomic, Molecular, and Optical Physics. 70: 023612-1-0236121-2. DOI: 10.1103/Physreva.70.023612  0.621
2004 Lieb EH, Seiringer R, Yngvason J. One-Dimensional Behavior of Dilute, Trapped Bose Gases Communications in Mathematical Physics. 244: 347-393. DOI: 10.1007/S00220-003-0993-3  0.387
2003 Lieb EH, Seiringer R, Yngvason J. One-dimensional bosons in three-dimensional traps. Physical Review Letters. 91: 150401. PMID 14611451 DOI: 10.1007/3-540-27056-6_54  0.309
2003 Lieb EH, Seiringer R, Yngvason J. Poincaré inequalities in punctured domains Annals of Mathematics. 158: 1067-1080. DOI: 10.4007/Annals.2003.158.1067  0.317
2003 Lieb EH, Wu FY. The one-dimensional Hubbard model: A reminiscence Physica a: Statistical Mechanics and Its Applications. 321: 1-27. DOI: 10.1016/S0378-4371(02)01785-5  0.333
2002 Eisenberg E, Lieb EH. Polarization of interacting bosons with spin. Physical Review Letters. 89: 220403. PMID 12485054 DOI: 10.1103/Physrevlett.89.220403  0.326
2002 Lieb EH, Seiringer R. Proof of Bose-Einstein condensation for dilute trapped gases. Physical Review Letters. 88: 170409. PMID 12005741 DOI: 10.1103/Physrevlett.88.170409  0.387
2002 Freericks JK, Lieb EH, Ueltschi D. Phase separation due to quantum mechanical correlations. Physical Review Letters. 88: 106401. PMID 11909377 DOI: 10.1103/Physrevlett.88.106401  0.319
2002 Freericks JK, Lieb EH, Ueltschi D. Segregation in the Falicov-Kimball model Communications in Mathematical Physics. 227: 243-279. DOI: 10.1007/S002200200632  0.304
2001 Lieb EH, Yngvason J. The ground state energy of a dilute two-dimensional bose gas Journal of Statistical Physics. 103: 509-526. DOI: 10.1023/A:1010337215241  0.329
2001 Lieb EH, Seiringer R, Yngvason J. A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas Communications in Mathematical Physics. 224: 17-31. DOI: 10.1007/S002200100533  0.369
2000 Lieb EH, Siedentop H. Renormalization of the regularized relativistic electron-positron field Communications in Mathematical Physics. 213: 673-683. DOI: 10.1007/S002200000265  0.369
1999 Lieb EH, Schupp P. Ground state properties of a fully frustrated quantum spin system Physical Review Letters. 83: 5362-5365. DOI: 10.1103/Physrevlett.83.5362  0.363
1999 Lieb EH, Yngvason J. The physics and mathematics of the second law of thermodynamics Physics Report. 310: 1-96. DOI: 10.1016/S0370-1573(98)00082-9  0.348
1998 Hundertmark D, Lieb EH, Thomas LE. A sharp bound for an eigenvalue moment of the one-dimensional schrödinger operator Advances in Theoretical and Mathematical Physics. 2: 719-731. DOI: 10.1007/978-3-642-55925-9_28  0.316
1997 Lieb EH, Thomas LE. Exact ground state energy of the strong-coupling polaron Communications in Mathematical Physics. 183: 511-519. DOI: 10.1007/S002200050040  0.378
1997 Frohlich J, Lieb EH, Loss M. Stability of Coulomb Systems with Magnetic Fields Communications in Mathematical Physics. 104: 425-436. DOI: 10.1007/978-3-662-03436-1_36  0.31
1996 Caffarelli LA, Jerison D, Lieb EH. On the Case of Equality in the Brunn-Minkowski Inequality for Capacity Advances in Mathematics. 117: 497-511. DOI: 10.1007/978-3-642-55925-9_40  0.305
1995 Lieb EH, Nachtergaele B. Stability of the Peierls instability for ring-shaped molecules. Physical Review. B, Condensed Matter. 51: 4777-4791. PMID 9979344 DOI: 10.1103/Physrevb.51.4777  0.317
1995 Freericks JK, Lieb EH. Ground state of a general electron-phonon Hamiltonian is a spin singlet. Physical Review. B, Condensed Matter. 51: 2812-2821. PMID 9979054 DOI: 10.1103/Physrevb.51.2812  0.366
1995 Lieb EH, Solovej JP, Yngvason J. Ground states of large quantum dots in magnetic fields. Physical Review. B, Condensed Matter. 51: 10646-10665. PMID 9977761 DOI: 10.1007/3-540-27056-6_14  0.38
1995 Heilmann OJ, Lieb EH. Electron density near the nucleus of a large atom. Physical Review. A. 52: 3628-3643. PMID 9912664 DOI: 10.1007/3-540-27056-6_11  0.318
1994 Lieb EH. Flux phase of the half-filled band. Physical Review Letters. 73: 2158-2161. PMID 10056987 DOI: 10.1103/Physrevlett.73.2158  0.336
1994 Bach V, Lieb EH, Loss M, Solovej JP. There are no unfilled shells in unrestricted Hartree-Fock theory. Physical Review Letters. 72: 2981-2983. PMID 10056037 DOI: 10.1103/Physrevlett.72.2981  0.326
1994 Bach V, Lieb EH, Solovej JP. Generalized Hartree-Fock Theory and the Hubbard Model Journal of Statistical Physics. 76: 3-89. DOI: 10.1007/Bf02188656  0.374
1994 Lieb EH, Solovej JP, Yngvason J. Asymptotics of heavy atoms in high magnetic fields: II. Semiclassical regions Communications in Mathematical Physics. 161: 77-124. DOI: 10.1007/Bf02099414  0.357
1994 Lieb EH, Loss M. Symmetry of the Ginzburg Landau Minimizer in a Disc Mathematical Research Letters. 1: 679-693. DOI: 10.1007/978-3-642-55925-9_53  0.316
1994 Lieb EH, Solovej JP, Yngvason J. Asymptotics of heavy atoms in high magnetic fields: I. Lowest landau band regions Communications On Pure and Applied Mathematics. 47: 513-591. DOI: 10.1002/Cpa.3160470406  0.339
1993 Lieb EH, Loss M. Fluxes, laplacians, and Kasteleyn’s theorem Duke Mathematical Journal. 71: 337-363. DOI: 10.1215/S0012-7094-93-07114-1  0.342
1993 Lieb EH, Loss M, McCann RJ. Uniform density theorem for the Hubbard model Journal of Mathematical Physics. 34: 891-898. DOI: 10.1063/1.530199  0.329
1993 Lieb EH, Solovej JP. Atoms in the Magnetic Field of a Neutron Star Mathematics in Science and Engineering. 192: 221-237. DOI: 10.1016/S0076-5392(08)62384-X  0.325
1993 Bach V, Lewis R, Lieb EH, Siedentop H. On the number of bound states of a bosonicN-particle Coulomb system Mathematische Zeitschrift. 214: 441-459. DOI: 10.1007/Bf02572416  0.301
1991 Lieb EH, Solovej JP. Quantum coherent operators: A generalization of coherent states Letters in Mathematical Physics. 22: 145-154. DOI: 10.1007/978-3-642-55925-9_31  0.33
1990 Aizenman M, Lieb EH. Magnetic properties of some itinerant-electron systems at T>0. Physical Review Letters. 65: 1470-1473. PMID 10042274 DOI: 10.1103/Physrevlett.65.1470  0.596
1990 Lieb EH. Integral bounds for radar ambiguity functions and Wigner distributions Journal of Mathematical Physics. 31: 594-599. DOI: 10.1063/1.528894  0.305
1989 Lieb EH. Two theorems on the Hubbard model. Physical Review Letters. 62: 1201-1204. PMID 10039602 DOI: 10.1103/Physrevlett.62.1201  0.381
1988 Kennedy T, Lieb EH, Shastry BS. The XY model has long-range order for all spins and all dimensions greater than one. Physical Review Letters. 61: 2582-2584. PMID 10039162 DOI: 10.1103/Physrevlett.61.2582  0.327
1988 Lieb EH, Yau HT. Many-body stability implies a bound on the fine-structure constant. Physical Review Letters. 61: 1695-1697. PMID 10038872 DOI: 10.1103/Physrevlett.61.1695  0.643
1988 Almgren FJ, Lieb EH. Singularities of energy minimizing maps from the ball to the sphere: Examples, counterexamples, and bounds Annals of Mathematics. 128: 483-530. DOI: 10.2307/1971434  0.317
1988 Affleck I, Kennedy T, Lieb EH, Tasaki H. Valence Bond Ground States in Isotropic Quantum Antiferromagnets Communications in Mathematical Physics. 115: 477-528. DOI: 10.1007/Bf01218021  0.372
1988 Kennedy T, Lieb EH, Shastry BS. Existence of N�el order in some spin-1/2 Heisenberg antiferromagnets Journal of Statistical Physics. 53: 1019-1030. DOI: 10.1007/Bf01023854  0.311
1988 Kennedy TG, Lieb EH, Tasaki H. A two-dimensional isotropic quantum antiferromagnet with unique disordered ground state Journal of Statistical Physics. 53: 383-415. DOI: 10.1007/Bf01011563  0.378
1987 Affleck I, Kennedy T, Lieb EH, Tasaki H. Rigorous results on valence-bond ground states in antiferromagnets. Physical Review Letters. 59: 799-802. PMID 10035874 DOI: 10.1103/Physrevlett.59.799  0.322
1987 Kennedy T, Lieb EH. Proof of the Peierls instability in one dimension. Physical Review Letters. 59: 1309-1312. PMID 10035199 DOI: 10.1103/Physrevlett.59.1309  0.359
1987 Lieb EH, Yau H. A Rigorous Examination of the Chandrasekhar Theory of Stellar Collapse The Astrophysical Journal. 323: 140-144. DOI: 10.1086/165813  0.635
1987 Lieb EH, Yau H. The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics Communications in Mathematical Physics. 112: 147-174. DOI: 10.1007/Bf01217684  0.663
1986 Lieb EH, Thirring WE. Universal nature of van der Waals forces for Coulomb systems. Physical Review. A. 34: 40-46. PMID 9897223 DOI: 10.1103/Physreva.34.40  0.332
1986 Kennedy T, Lieb EH. An itinerant electron model with crystalline or magnetic long range order Physica a-Statistical Mechanics and Its Applications. 138: 320-358. DOI: 10.1016/0378-4371(86)90188-3  0.365
1986 Brezis H, Coron JM, Lieb EH. Harmonic maps with defects Communications in Mathematical Physics. 107: 649-705. DOI: 10.1007/Bf01205490  0.309
1986 Affleck I, Lieb EH. A Proof of Part of Haldane’s Conjecture on Spin Chains Letters in Mathematical Physics. 12: 57-69. DOI: 10.1007/Bf00400304  0.309
1986 Lieb EH. A model for crystallization: A variation on the Hubbard model Physica a-Statistical Mechanics and Its Applications. 140: 240-250. DOI: 10.1007/3-540-16777-3_69  0.367
1985 Lieb EH. Baryon mass inequalities in quark models. Physical Review Letters. 54: 1987-1990. PMID 10031194 DOI: 10.1103/Physrevlett.54.1987  0.318
1984 Daubechies I, Lieb EH. Relativistic Molecules with Coulomb Interaction North-Holland Mathematics Studies. 92: 143-148. DOI: 10.1016/S0304-0208(08)73689-2  0.318
1984 Chayes JT, Chayes L, Lieb EH. The inverse problem in classical statistical mechanics Communications in Mathematical Physics. 93: 57-121. DOI: 10.1007/Bf01218639  0.346
1984 Lieb EH, Sigal IM, Simon B, Thirring W. Asymptotic neutrality of large-Z ions Physical Review Letters. 52: 994-996. DOI: 10.1007/978-3-662-03436-1_9  0.316
1983 Lieb EH. Density Functionals for Coulomb Systems International Journal of Quantum Chemistry. 24: 243-277. DOI: 10.1002/Qua.560240302  0.333
1981 Bricmont J, Fontaine J, Lebowitz JL, Lieb EH, Spencer T. Lattice systems with a continuous symmetry Communications in Mathematical Physics. 78: 545-566. DOI: 10.1007/Bf02046764  0.315
1981 Lieb EH, Sokal AD. A general Lee-Yang theorem for one-component and multicomponent ferromagnets Communications in Mathematical Physics. 80: 153-179. DOI: 10.1007/Bf01213009  0.316
1981 Aizenman M, Lieb EH. The third law of thermodynamics and the degeneracy of the ground state for lattice systems Journal of Statistical Physics. 24: 279-297. DOI: 10.1007/Bf01007649  0.641
1980 Lieb EH, Simon B. Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. VI. Asymptotics in the two-cluster region Advances in Applied Mathematics. 1: 324-343. DOI: 10.1016/0196-8858(80)90015-9  0.309
1980 Fr�hlich J, Israel RB, Lieb EH, Simon B. Phase transitions and reflection positivity. II. Lattice systems with short-range and Coulomb interactions Journal of Statistical Physics. 22: 297-347. DOI: 10.1007/Bf01014646  0.329
1979 Lieb EH. A lower bound for Coulomb energies Physics Letters A. 70: 444-446. DOI: 10.1016/0375-9601(79)90358-X  0.301
1979 Brezis H, Lieb EH. Long range atomic potentials in Thomas-Fermi theory Communications in Mathematical Physics. 65: 231-246. DOI: 10.1007/Bf01197881  0.319
1979 Heilmann OJ, Lieb EH. Lattice models for liquid crystals Journal of Statistical Physics. 20: 679-693. DOI: 10.1007/Bf01009518  0.311
1978 Lieb EH, Llano Md. Solitons and the delta function fermion gas in Hartree–Fock theory Journal of Mathematical Physics. 19: 860-868. DOI: 10.1063/1.523748  0.334
1978 Aizenman M, Davies EB, Lieb EH. Positive linear maps which are order bounded on C* subalgebras Advances in Mathematics. 28: 84-86. DOI: 10.1016/0001-8708(78)90046-4  0.616
1978 Lieb EH. Proof of an entropy conjecture of Wehrl Communications in Mathematical Physics. 62: 35-41. DOI: 10.1007/Bf01940328  0.371
1978 Fröhlich J, Israel R, Lieb EH, Simon B. Phase transitions and reflection positivity. I. General theory and long range lattice models Communications in Mathematical Physics. 62: 1-34. DOI: 10.1007/Bf01940327  0.319
1978 Dyson FJ, Lieb EH, Simon B. Phase transitions in quantum spin systems with isotropic and nonisotropic interactions Journal of Statistical Physics. 18: 335-383. DOI: 10.1007/978-3-662-10018-9_12  0.303
1978 Fröhlich J, Lieb EH. Phase transitions in anisotropic lattice spin systems Communications in Mathematical Physics. 60: 233-267. DOI: 10.1007/978-3-662-10018-9_11  0.356
1977 Fröhlich J, Lieb EH. Existence of Phase Transitions for Anisotropic Heisenberg Models Physical Review Letters. 38: 440-442. DOI: 10.1103/Physrevlett.38.440  0.33
1977 Lieb EH, Thirring WE. A lower bound for level spacings Annals of Physics. 103: 88-96. DOI: 10.1016/0003-4916(77)90262-7  0.323
1977 Lieb EH, Simon B. The Thomas-Fermi theory of atoms, molecules and solids Advances in Mathematics. 23: 22-116. DOI: 10.1016/0001-8708(77)90108-6  0.372
1977 Lanford OE, Lebowitz JL, Lieb EH. Time evolution of infinite anharmonic systems Journal of Statistical Physics. 16: 453-461. DOI: 10.1007/Bf01152283  0.318
1977 Lieb EH. Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation Studies in Applied Mathematics. 57: 93-105. DOI: 10.1002/Sapm197757293  0.344
1976 Dyson FJ, Lieb EH, Simon B. Phase transitions in the quantum Heisenberg model Physical Review Letters. 37: 120-123. DOI: 10.1103/Physrevlett.37.120  0.31
1976 Lieb EH. Inequalities for Some Operator and Matrix Functions Advances in Mathematics. 20: 174-178. DOI: 10.1016/0001-8708(76)90185-7  0.336
1976 Brascamp HJ, Lieb EH. Best Constants in Young's Inequality, Its Converse, and Its Generalization to More than Three Functions Advances in Mathematics. 20: 151-173. DOI: 10.1016/0001-8708(76)90184-5  0.309
1976 Brascamp HJ, Lieb EH. On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation Journal of Functional Analysis. 22: 366-389. DOI: 10.1007/978-3-642-55925-9_36  0.321
1976 Lieb EH. The stability of matter Reviews of Modern Physics. 48: 561-577. DOI: 10.1007/3-540-27056-6_37  0.333
1975 Lieb E, Thirring WE. Erratum: Bound for the Kinetic Energy of Fermions which Proves the Stability of Matter. (Physical Review Letters) Physical Review Letters. 35. DOI: 10.1103/Physrevlett.35.1116  0.304
1975 Lieb EH. Some Convexity and Subadditivity Properties of Entropy Bulletin of the American Mathematical Society. 81: 1-13. DOI: 10.1007/978-3-642-55925-9_7  0.322
1973 Lieb EH, Ruskai MB. A Fundamental Property of Quantum-Mechanical Entropy Physical Review Letters. 30: 434-436. DOI: 10.1103/Physrevlett.30.434  0.306
1973 Hepp K, Lieb EH. Equilibrium Statistical Mechanics of Matter Interacting with the Quantized Radiation Field Physical Review A. 8: 2517-2525. DOI: 10.1103/Physreva.8.2517  0.33
1973 Lieb EH, Ruskai MB. Proof of the strong subadditivity of quantum‐mechanical entropy Journal of Mathematical Physics. 14: 1938-1941. DOI: 10.1063/1.1666274  0.352
1973 Hepp K, Lieb EH. On the superradiant phase transition for molecules in a quantized radiation field: the dicke maser model Annals of Physics. 76: 360-404. DOI: 10.1016/0003-4916(73)90039-0  0.312
1973 Lieb EH. Convex trace functions and the Wigner-Yanase-Dyson conjecture Advances in Mathematics. 11: 267-288. DOI: 10.1016/0001-8708(73)90011-X  0.334
1973 Lieb EH. The classical limit of quantum spin systems Communications in Mathematical Physics. 31: 327-340. DOI: 10.1007/Bf01646493  0.374
1972 Lebowitz JL, Lieb EH. Phase transition in a continuum classical system with finite interactions Physics Letters A. 39: 98-100. DOI: 10.1016/0375-9601(72)91033-X  0.31
1972 Heilmann OJ, Lieb EH. Theory of monomer-dimer systems Communications in Mathematical Physics. 25: 190-232. DOI: 10.1007/Bf01645620  0.348
1972 Lieb EH, Ruelle D. A Property of Zeros of the Partition Function for Ising Spin Systems Journal of Mathematical Physics. 13: 89-92. DOI: 10.1007/978-3-662-10018-9_8  0.345
1972 Lieb EH, Lebowitz JL. The constitution of matter: Existence of thermodynamics for systems composed of electrons and nuclei Advances in Mathematics. 9: 17-24. DOI: 10.1007/978-3-662-10018-9_3  0.366
1971 Heilmann OJ, Lieb EH. Violation of the Noncrossing Rule: The Hubbard Hamiltonian for Benzene Annals of the New York Academy of Sciences. 172: 584-617. DOI: 10.1111/J.1749-6632.1971.Tb34956.X  0.328
1971 Temperley HNV, Lieb EH. Relations between the 'percolation' and 'colouring' problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the 'percolation' problem Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 322: 251-280. DOI: 10.1098/Rspa.1971.0067  0.307
1971 Lieb EH, Llano MD. Some exact results in the Hartree-Fock theory of a many-fermion system at high densities Physics Letters B. 37: 47-49. DOI: 10.1016/0370-2693(71)90566-1  0.338
1971 Heilmann OJ, Kleitman DJ, Lieb EH, Sherman S. Some positive definite functions on sets and their application to the Ising model Discrete Mathematics. 1: 19-27. DOI: 10.1016/0012-365X(71)90004-5  0.318
1970 Heilmann OJ, Lieb EH. Monomers and Dimers Physical Review Letters. 24: 1412-1414. DOI: 10.1103/Physrevlett.24.1412  0.302
1969 Lieb EH, Thompson CJ. Phase Transition in Zero Dimensions: A Remark on the Spherical Model Journal of Mathematical Physics. 10: 1403-1406. DOI: 10.1063/1.1664980  0.32
1968 Lieb EH, Wu FY. Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension Physical Review Letters. 20: 1445-1448. DOI: 10.1103/Physrevlett.20.1445  0.324
1966 Lieb E. Quantum-Mechanical Extension of the Lebowitz-Penrose Theorem on the Van Der Waals Theory Journal of Mathematical Physics. 7: 1016-1024. DOI: 10.1063/1.1704992  0.37
1966 Mattis DC, Lieb EH. Theory of Paramagnetic Impurities in Semiconductors Journal of Mathematical Physics. 7: 2045-2052. DOI: 10.1063/1.1704887  0.386
1965 Mattis DC, Lieb EH. Exact Solution of a Many-Fermion System and Its Associated Boson Field Journal of Mathematical Physics. 6: 304-312. DOI: 10.1063/1.1704281  0.343
1964 Schultz TD, Mattis DC, Lieb EH. Two-Dimensional Ising Model as a Soluble Problem of Many Fermions Reviews of Modern Physics. 36: 856-871. DOI: 10.1103/Revmodphys.36.856  0.336
1964 Lieb EH, Liniger W. Simplified Approach To The Ground-State Energy Of An Imperfect Bose Gas. Iii. Application To The One-Dimensional Model Physical Review. 134. DOI: 10.1103/Physrev.134.A312  0.313
1964 Lieb EH, Sakakura AY. Simplified Approach To The Ground-State Energy Of An Imperfect Bose Gas. Ii. Charged Bose Gas At High Density Physical Review. 133. DOI: 10.1103/Physrev.133.A899  0.333
1963 Lieb EH. Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas Physical Review. 130: 2518-2528. DOI: 10.1103/Physrev.130.2518  0.377
1963 Lieb EH, Liniger W. Exact Analysis Of An Interacting Bose Gas. I. The General Solution And The Ground State Physical Review. 130: 1605-1616. DOI: 10.1103/Physrev.130.1605  0.375
1963 Lieb E. New Method in the Theory of Imperfect Gases and Liquids Journal of Mathematical Physics. 4: 671-678. DOI: 10.1063/1.1704005  0.323
1962 Lieb E, Mattis D. Theory of Ferromagnetism and the Ordering of Electronic Energy Levels Physical Review. 125: 164-172. DOI: 10.1103/Physrev.125.164  0.358
1961 Lieb E. Operator Formalism in Statistical Mechanics Journal of Mathematical Physics. 2: 341-343. DOI: 10.1063/1.1703719  0.302
1961 Lieb E, Schultz T, Mattis D. Two Soluble Models of an Antiferromagnetic Chain Annals of Physics. 16: 407-466. DOI: 10.1016/0003-4916(61)90115-4  0.371
1959 Lieb E, Koppe H. Mathematical Analysis Of A Simple Model Related To The Stripping Reaction Physical Review. 116: 367-371. DOI: 10.1103/Physrev.116.367  0.312
1958 Lieb EH, Yamazaki K. Ground-State Energy and Effective Mass of the Polaron Physical Review. 111: 728-733. DOI: 10.1103/Physrev.111.728  0.302
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