Israel Michael Sigal - Publications

Affiliations: 
University of Toronto, Toronto, ON, Canada 
Area:
Mathematics

61 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2018 Bach V, Ballesteros M, Deckert D, Sigal IM. Mathematical Questions and Challenges in Quantum Electrodynamics and its Applications Oberwolfach Reports. 14: 2539-2599. DOI: 10.4171/Owr/2017/41  0.383
2018 Sigal IM, Tzaneteas T. On stability of Abrikosov vortex lattices Advances in Mathematics. 326: 108-199. DOI: 10.1016/J.Aim.2017.11.031  0.367
2018 Chenn I, Smyrnelis P, Sigal IM. On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations Mathematical Physics, Analysis and Geometry. 21. DOI: 10.1007/S11040-017-9257-X  0.349
2017 Ovchinnikov YN, Sigal IM. "Soft" modes of the excitation spectrum constructed on perturbations of the Abrikosov lattice with a single flux quantum in the unit cell Journal of Experimental and Theoretical Physics. 125: 123-137. DOI: 10.1134/S1063776117060024  0.358
2017 Anapolitanos I, Sigal IM. Long-Range Behavior of the van der Waals Force Communications On Pure and Applied Mathematics. 70: 1633-1671. DOI: 10.1002/Cpa.21695  0.696
2014 Bach V, de Siqueira Pedra W, Merkli M, Sigal IM. Suppression of Decoherence by Periodic Forcing Journal of Statistical Physics. 155: 1271-1298. DOI: 10.1007/S10955-014-0952-8  0.7
2014 Faupin J, Sigal IM. On Rayleigh Scattering in Non-Relativistic Quantum Electrodynamics Communications in Mathematical Physics. 328: 1199-1254. DOI: 10.1007/S00220-014-1883-6  0.385
2013 Faupin J, Sigal IM. Minimal Photon Velocity Bounds in Non-relativistic Quantum Electrodynamics Journal of Statistical Physics. 154: 58-90. DOI: 10.1007/S10955-013-0862-1  0.406
2013 Bach V, Chen T, Faupin J, Fröhlich J, Sigal IM. Effective Dynamics of an Electron Coupled to an External Potential in Non-relativistic QED Annales Henri Poincare. 14: 1573-1597. DOI: 10.1007/S00023-012-0222-8  0.304
2012 Sigal IM, Tzaneteas T. Stability of Abrikosov lattices under gauge-periodic perturbations Nonlinearity. 25: 1187-1210. DOI: 10.1088/0951-7715/25/4/1187  0.34
2012 Dejak SI, Lushnikov PM, Ovchinnikov YN, Sigal IM. On spectra of linearized operators for Keller-Segel models of chemotaxis Physica D: Nonlinear Phenomena. 241: 1245-1254. DOI: 10.1016/J.Physd.2012.04.003  0.301
2012 Bony J, Faupin J, Sigal IM. Maximal velocity of photons in non-relativistic QED Advances in Mathematics. 231: 3054-3078. DOI: 10.1016/J.Aim.2012.07.019  0.391
2011 Fröhlich J, Griesemer M, Sigal IM. Spectral Renormalization Group and Local Decay in the Standard Model of Non-Relativistic Quantum Electrodynamics Reviews in Mathematical Physics. 23: 179-209. DOI: 10.1142/S0129055X11004266  0.394
2011 Ovchinnikov YN, Sigal IM. Long-time relaxation processes in the nonlinear Schrödinger equation Journal of Experimental and Theoretical Physics. 112: 469-478. DOI: 10.1134/S1063776111020087  0.336
2011 Jonsson BLG, Ovchinnikov YN, Sigal IM, Ting FST. Dynamics of breakup of multiple vortices in Gross-Pitaevskii equations of superfluids Journal of Mathematical Physics. 52: 093505. DOI: 10.1063/1.3629473  0.324
2011 Chen T, Faupin J, Fröhlich J, Sigal IM. Local Decay in Non-Relativistic QED Communications in Mathematical Physics. 309: 543-582. DOI: 10.1007/S00220-011-1339-1  0.401
2010 Antonopoulou D, Karali G, Sigal I. Stability of spheres under volume-preserving mean curvature flow Dynamics of Partial Differential Equations. 7: 327-344. DOI: 10.4310/Dpde.2010.V7.N4.A3  0.323
2010 Merkli M, Berman GP, Sigal IM. Resonant perturbation theory of decoherence and relaxation of quantum bits Advances in Mathematical Physics. DOI: 10.1155/2010/169710  0.724
2009 FRÖHLICH J, GRIESEMER M, SIGAL IM. ON SPECTRAL RENORMALIZATION GROUP Reviews in Mathematical Physics. 21: 511-548. DOI: 10.1142/S0129055X09003682  0.342
2009 Abou Salem W, Faupin J, Fröhlich J, Sigal I. On the theory of resonances in non-relativistic quantum electrodynamics and related models Advances in Applied Mathematics. 43: 201-230. DOI: 10.1016/J.Aam.2008.06.006  0.434
2009 Sigal IM. Ground State and Resonances in the Standard Model of the Non-Relativistic QED Journal of Statistical Physics. 134: 899-939. DOI: 10.1007/S10955-009-9721-5  0.358
2009 Salem WKA, Fröhlich J, Sigal IM. Colliding Solitons for the Nonlinear Schrödinger Equation Communications in Mathematical Physics. 291: 151-176. DOI: 10.1007/S00220-009-0871-8  0.312
2008 Merkli M, Berman GP, Sigal IM. Dynamics of collective decoherence and thermalization Annals of Physics. 323: 3091-3112. DOI: 10.1016/J.Aop.2008.07.004  0.661
2008 Merkli M, Sigal IM, Berman GP. Resonance theory of decoherence and thermalization Annals of Physics. 323: 373-412. DOI: 10.1016/J.Aop.2007.04.013  0.7
2008 Fröhlich J, Griesemer M, Sigal IM. Spectral Theory for the Standard Model of Non-Relativistic QED Communications in Mathematical Physics. 283: 613-646. DOI: 10.1007/S00220-008-0506-5  0.356
2007 Merkli M, Sigal IM, Berman GP. Decoherence and thermalization. Physical Review Letters. 98: 130401. PMID 17501168 DOI: 10.1103/Physrevlett.98.130401  0.674
2007 Merkli M, Mück M, Sigal IM. Instability of equilibrium states for coupled heat reservoirs at different temperatures Journal of Functional Analysis. 243: 87-120. DOI: 10.1016/J.Jfa.2006.10.017  0.7
2007 Bach V, Chen T, Fröhlich J, Sigal IM. The renormalized electron mass in non-relativistic quantum electrodynamics Journal of Functional Analysis. 243: 426-535. DOI: 10.1016/J.Jfa.2006.09.017  0.319
2007 Gang Z, Sigal IM. Relaxation of solitons in nonlinear Schrödinger equations with potential Advances in Mathematics. 216: 443-490. DOI: 10.1016/J.Aim.2007.04.018  0.334
2007 Merkli M, Mück M, Sigal IM. Theory of non-equilibrium stationary states as a theory of resonances Annales Henri Poincare. 8: 1539-1593. DOI: 10.1007/S00023-007-0346-4  0.679
2004 Fröhlich J, Merkli M, Sigal IM. Ionization of atoms in a thermal field Journal of Statistical Physics. 116: 311-359. DOI: 10.1023/B:Joss.0000037226.16493.5E  0.69
2002 Sigal IM, Soffer A, Zielinski L. On the spectral properties of Hamiltonians without conservation of the particle number Journal of Mathematical Physics. 43: 1844-1855. DOI: 10.1063/1.1452302  0.31
2002 Sigal IM, Vasilijevic B. Mathematical theory of quantum tunneling decay at positive temperature Annales Henri Poincare. 3: 347-387. DOI: 10.1007/S00023-002-8620-Y  0.637
2000 HUNZIKER W, SIGAL IM. TIME-DEPENDENT SCATTERING THEORY OF N-BODY QUANTUM SYSTEMS Reviews in Mathematical Physics. 12: 1033-1084. DOI: 10.1142/S0129055X0000040X  0.389
2000 Bach V, Fröhlich J, Sigal IM. Return to equilibrium Journal of Mathematical Physics. 41: 3985-4060. DOI: 10.1063/1.533334  0.37
2000 Hunziker W, Sigal IM. The quantum N-body problem Journal of Mathematical Physics. 41: 3448-3510. DOI: 10.1063/1.533319  0.394
2000 Sigal IM. Letters in Mathematical Physics. 53: 313-320. DOI: 10.1023/A:1007622208894  0.336
1999 Bach V, Fröhlich J, Sigal IM. Spectral Analysis for Systems of Atoms and Molecules Coupled to the Quantized Radiation Field Communications in Mathematical Physics. 207: 249-290. DOI: 10.1007/S002200050726  0.341
1999 Merkli M, Sigal IM. A Time-Dependent Theory of Quantum Resonances Communications in Mathematical Physics. 201: 549-576. DOI: 10.1007/S002200050568  0.703
1998 Ovchinnikov YN, Sigal IM. The Ginzburg-Landau equation III. Vortex dynamics Nonlinearity. 11: 1277-1294. DOI: 10.1088/0951-7715/11/5/006  0.329
1998 Ovchinnikov Y, Sigal I. Dynamics of localized structures Physica a: Statistical Mechanics and Its Applications. 261: 143-158. DOI: 10.1016/S0378-4371(98)00384-7  0.355
1998 Bach V, Fröhlich J, Sigal IM. Quantum Electrodynamics of Confined Nonrelativistic Particles Advances in Mathematics. 137: 299-395. DOI: 10.1006/Aima.1998.1734  0.383
1998 Bach V, Fröhlich J, Sigal IM. Renormalization Group Analysis of Spectral Problems in Quantum Field Theory Advances in Mathematics. 137: 205-298. DOI: 10.1006/Aima.1998.1733  0.369
1997 Bach V, Fröhlich J, Sigal IM. Mathematical theory of radiation Foundations of Physics. 27: 227-237. DOI: 10.1007/Bf02550452  0.326
1995 Bach V, Fröhlich J, Sigal IM. Mathematical theory of nonrelativistic matter and radiation Letters in Mathematical Physics. 34: 183-201. DOI: 10.1007/Bf01872776  0.374
1994 Ovchinnikov YN, Sigal IM. The low temperature creep of the vortex lattice Physica B-Condensed Matter. 194: 1471-1472. DOI: 10.1016/0921-4526(94)91235-1  0.363
1993 Ovchinnikov YN, Sigal IM. Decay of vortex states in superconductors. Physical Review. B, Condensed Matter. 48: 1085-1096. PMID 10007967 DOI: 10.1103/Physrevb.48.1085  0.387
1992 DEBIÈVRE S, HISLOP PD, SIGAL I. SCATTERING THEORY FOR THE WAVE EQUATION ON NON-COMPACT MANIFOLDS Reviews in Mathematical Physics. 4: 575-618. DOI: 10.1142/S0129055X92000236  0.308
1992 Gérard C, Sigal IM. Space-time picture of semiclassical resonances Communications in Mathematical Physics. 145: 281-328. DOI: 10.1007/Bf02099139  0.322
1990 Sigal IM. On long-range scattering Duke Mathematical Journal. 60: 473-496. DOI: 10.1215/S0012-7094-90-06019-3  0.303
1989 Hislop PD, Sigal IM. Semiclassical theory of shape resonances in quantum mechanics Memoirs of the American Mathematical Society. 78: 0-0. DOI: 10.1090/memo/0399  0.307
1989 Sigal IM. Stark effect in multielectron systems: Non-existence of bound states Communications in Mathematical Physics. 122: 1-22. DOI: 10.1007/Bf01221405  0.328
1989 Sigal IM. Many-body scattering problem Lecture Notes in Physics. 345: 427-443. DOI: 10.1007/3-540-51783-9_27  0.347
1988 Sigal IM. Geometric theory of Stark resonances in multielectron systems Communications in Mathematical Physics. 119: 287-314. DOI: 10.1007/Bf01217742  0.382
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  0.326
1982 Sigal IM. Mathematical theory of single channel systems. Analyticity of scattering matrix Transactions of the American Mathematical Society. 270: 409-409. DOI: 10.1090/S0002-9947-1982-0645323-X  0.342
1982 Sigal IM. Geometric methods in the quantum many-body problem. Nonexistence of very negative ions Communications in Mathematical Physics. 85: 309-324. DOI: 10.1007/Bf01254462  0.396
1981 Perry P, Sigal IM, Simon B. Spectral Analysis of N-Body Schrodinger Operators The Annals of Mathematics. 114: 519. DOI: 10.2307/1971301  0.313
1980 Perry P, Sigal IM, Simon B. Absence of singular continuous spectrum in $N$-body quantum systems Bulletin of the American Mathematical Society. 3: 1019-1024. DOI: 10.1090/S0273-0979-1980-14838-7  0.386
1979 Ovchinnikov Y, Sigal I. Number of bound states of three-body systems and Efimov's effect Annals of Physics. 123: 274-295. DOI: 10.1016/0003-4916(79)90339-7  0.315
1978 Sigal IM. Mathematical foundations of quantum scattering theory for multiparticle systems Memoirs of the American Mathematical Society. 16: 0-0. DOI: 10.1090/Memo/0209  0.419
Show low-probability matches.