| Year |
Citation |
Score |
| 2017 |
Álvarez G, Silverstone HJ. A new method to sum divergent power series: educated match Arxiv: Mathematical Physics. 1: 25005. DOI: 10.1088/2399-6528/Aa8540 |
0.355 |
|
| 2014 |
Silverstone HJ. Two-center noninteger-n overlap, Coulomb, and kinetic energy integrals by numerical contour integration. The Journal of Physical Chemistry. A. 118: 11971-4. PMID 25140411 DOI: 10.1021/Jp5070159 |
0.335 |
|
| 2009 |
Koike T, Silverstone HJ. Rereading Langer's influential 1937 JWKB paper: the unnecessary Langer transformation; the two ℏ's Journal of Physics a: Mathematical and Theoretical. 42: 495206. DOI: 10.1088/1751-8113/42/49/495206 |
0.34 |
|
| 2009 |
Silverstone HJ, Todd HD. Analytical evaluation of three-center one-electron integrals of rNYML (θ,ϕ) with slater-type atomic orbitals International Journal of Quantum Chemistry. 5: 371-383. DOI: 10.1002/Qua.560050740 |
0.407 |
|
| 2005 |
Shen H, Silverstone HJ, Álvarez G. On the bidirectionality of the JWKB connection formula at a linear turning point Collection of Czechoslovak Chemical Communications. 70: 740-754. DOI: 10.1135/Cccc20050740 |
0.494 |
|
| 2004 |
Antolovic D, Silverstone HJ. On the computation of (2-2) three-center Slater-type orbital integrals of l/r 12 using Fourier-transform-based analytical formulas International Journal of Quantum Chemistry. 100: 146-154. DOI: 10.1002/Qua.20123 |
0.36 |
|
| 2004 |
Shen H, Silverstone HJ. JWKB method as an exact technique International Journal of Quantum Chemistry. 99: 336-352. DOI: 10.1002/Qua.20029 |
0.511 |
|
| 2002 |
Álvarez G, Howls CJ, Silverstone HJ. Dispersive hyperasymptotics and the anharmonic oscillator Journal of Physics a: Mathematical and General. 35: 4017-4042. DOI: 10.1088/0305-4470/35/18/303 |
0.348 |
|
| 2002 |
Álvarez G, Howls CJ, Silverstone HJ. Anharmonic oscillator discontinuity formulae up to second-exponentially-small order Journal of Physics a: Mathematical and General. 35: 4003-4016. DOI: 10.1088/0305-4470/35/18/302 |
0.355 |
|
| 1998 |
Gaffney BJ, Silverstone HJ. Simulation methods for looping transitions. Journal of Magnetic Resonance (San Diego, Calif. : 1997). 134: 57-66. PMID 9740731 DOI: 10.1006/Jmre.1998.1526 |
0.601 |
|
| 1998 |
Lai ST, Palting P, Chiu YN, Silverstone HJ. On the summations involving Wigner rotation matrix elements Journal of Mathematical Chemistry. 24: 123-132. DOI: 10.1023/A:1019166518417 |
0.317 |
|
| 1993 |
Doctor KS, Gaffney BJ, Alvarez G, Silverstone HJ. EPR spectroscopy of interdoublet transitions in high-spin iron: Applications to transferrin oxalate Journal of Physical Chemistry. 97: 3028-3033. DOI: 10.1021/J100114A033 |
0.596 |
|
| 1991 |
Alvarez G, Damburg RJ, Silverstone HJ. Photoionization of atomic hydrogen in an electric field. Physical Review. A. 44: 3060-3082. PMID 9906306 DOI: 10.1103/Physreva.44.3060 |
0.365 |
|
| 1989 |
Alvarez G, Silverstone HJ. Resonance contributions to the photoionization spectrum of atomic hydrogen in an electric field. Physical Review Letters. 63: 1364-1367. PMID 10040548 DOI: 10.1103/Physrevlett.63.1364 |
0.362 |
|
| 1988 |
Gailitis M, Silverstone HJ. On the use of asymptotic expansions Theoretica Chimica Acta. 73: 105-114. DOI: 10.1007/Bf00528197 |
0.361 |
|
| 1986 |
Cízek J, Damburg RJ, Graffi S, Grecchi V, Harrell EM, Harris JG, Nakai S, Paldus J, Propin RK, Silverstone HJ. 1/R expansion for H2 +: Calculation of exponentially small terms and asymptotics. Physical Review. A. 33: 12-54. PMID 9896581 DOI: 10.1103/Physreva.33.12 |
0.365 |
|
| 1986 |
Silverstone HJ. Reality and complexity in asymptotic expansions for eigenvalues and eigenfunctions, with application to the JWKB connection-formula problem International Journal of Quantum Chemistry. 29: 261-272. DOI: 10.1002/Qua.560290216 |
0.37 |
|
| 1985 |
Silverstone HJ, Nakai S, Harris JG. Observations on the summability of confluent hypergeometric functions and on semiclassical quantum mechanics. Physical Review. A. 32: 1341-1345. PMID 9896213 DOI: 10.1103/Physreva.32.1341 |
0.34 |
|
| 1985 |
Franceschini V, Grecchi V, Silverstone HJ. Complex energies from real perturbation series for the LoSurdo-Stark effect in hydrogen by Borel-Padé approximants. Physical Review. A. 32: 1338-1340. PMID 9896212 DOI: 10.1103/Physreva.32.1338 |
0.371 |
|
| 1985 |
Graffi S, Grecchi V, Harrell EM, Silverstone HJ. The 1 R expansion for H2 +: Analyticity, summability, and asymptotics Annals of Physics. 165: 441-483. DOI: 10.1016/0003-4916(85)90305-7 |
0.314 |
|
| 1984 |
Jankowski K, Zaharevitz DW, Silverstone HJ. On definitions of L convergence of atomic correlation energies The Journal of Chemical Physics. 82: 1969-1972. DOI: 10.1063/1.448959 |
0.35 |
|
| 1982 |
Silverstone HJ. Unified derivation of the perturbation series for the real and imaginary parts of the energy of hydrogen in the stark effect and of the negatively anharmonic oscillator International Journal of Quantum Chemistry. 21: 125-131. DOI: 10.1002/Qua.560210109 |
0.308 |
|
| 1981 |
Silverstone HJ, Harrell E, Grot C. High-order perturbation theory of the imaginary part of the resonance eigenvalues of the Stark effect in hydrogen and of the anharmonic oscillator with negative anharmonicity Physical Review A. 24: 1925-1934. DOI: 10.1103/Physreva.24.1925 |
0.3 |
|
| 1981 |
Silverstone HJ, Moats RK. Practical recursive solution of degenerate Rayleigh-Schrödinger perturbation theory and application to high-order calculations of the Zeeman effect in hydrogen Physical Review A. 23: 1645-1654. DOI: 10.1103/Physreva.23.1645 |
0.302 |
|
| 1980 |
Adams BG, Avron JE, Äek J, Otto P, Paldus J, Moats RK, Silverstone HJ. Bender-Wu formulas for degenerate eigenvalues Physical Review A. 21: 1914-1916. DOI: 10.1103/Physreva.21.1914 |
0.348 |
|
| 1980 |
Handler GS, Smith DW, Silverstone HJ. Asymptotic behavior of atomic Hartree-Fock orbitals The Journal of Chemical Physics. 73: 3936-3938. DOI: 10.1063/1.440578 |
0.391 |
|
| 1979 |
Silverstone HJ, Adams BG, Cizek J, Otto P. Stark Effect in Hydrogen: Dispersion Relation, Asymptotic Formulas, and Calculation of the Ionization Rate via High-Order Perturbation Theory Physical Review Letters. 43: 1498-1501. DOI: 10.1103/Physrevlett.43.1498 |
0.324 |
|
| 1979 |
Silverstone HJ, Koch PM. Calculation of Stark effect energy shifts by Pade approximants of Rayleigh Schrodinger perturbation theory Journal of Physics B: Atomic and Molecular Physics. 12: L537-L541. DOI: 10.1088/0022-3700/12/18/001 |
0.362 |
|
| 1979 |
Carroll DP, Silverstone HJ, Metzger RM. Piecewise polynomial configuration interaction natural orbital study of 1 s2 helium Journal of Chemical Physics. 71: 4142-4163. DOI: 10.1063/1.438187 |
0.482 |
|
| 1979 |
Silverstone HJ, Carroll DP, Metzger RM. Pseudo-eigenvalue equation for natural orbitals of two-electron systems and long range behavior The Journal of Chemical Physics. 70: 5919-5921. DOI: 10.1063/1.437393 |
0.519 |
|
| 1978 |
Silverstone HJ. Perturbation theory of the Stark effect in hydrogen to arbitrarily high order Physical Review A. 18: 1853-1864. DOI: 10.1103/Physreva.18.1853 |
0.369 |
|
| 1978 |
Silverstone HJ, Carroll DP, Silver DM. Piecewise polynomial basis functions for configuration interaction and many-body perturbation theory calculations. The radial limit of helium The Journal of Chemical Physics. 68: 616-618. DOI: 10.1063/1.435729 |
0.367 |
|
| 1977 |
Yamabe T, Tachibana A, Silverstone HJ. Perturbation theory of resonant states induced by an electrostatic field: One-dimensional model Journal of Physics B: Atomic and Molecular Physics. 10: 2083-2100. DOI: 10.1088/0022-3700/10/11/010 |
0.346 |
|
| 1977 |
Gázquez JL, Silverstone HJ. Piecewise polynomial electronic wavefunctions The Journal of Chemical Physics. 67: 1887-1898. DOI: 10.1063/1.435119 |
0.656 |
|
| 1976 |
Carroll DP, Silverstone HJ, Metzger RM. Piecewise polynomial configuration interaction natural orbital study of 1s2 helium The Journal of Chemical Physics. 71: 4142-4163. DOI: 10.1063/1.438187 |
0.579 |
|
| 1971 |
Silverstone HJ, Holloway TT. Explicit formulas in degenerate Rayleigh-Schrödinger perturbation theory for the energy and wave function, based on a formula of lagrange Physical Review A. 4: 2191-2199. DOI: 10.1103/Physreva.4.2191 |
0.34 |
|
| 1971 |
Silverstone HJ. Explicit solution for the wavefunction and energy in degenerate rayleigh-schrödinger perturbation theory The Journal of Chemical Physics. 54: 2325-2335. DOI: 10.1063/1.1675182 |
0.336 |
|
| 1970 |
Kay KG, Silverstone HJ. Analytical evaluation of multicenter integrals of r12-1 with slater-type atomic orbitals VI. Asymptotic expansions for large internuclear distances The Journal of Chemical Physics. 53: 4269-4285. DOI: 10.1063/1.1673933 |
0.392 |
|
| 1970 |
David Todd H, Kay KG, Silverstone HJ. Unified treatment of two-center overlap, coulomb, and kinetic-energy integrals The Journal of Chemical Physics. 53: 3947-3950. DOI: 10.1063/1.1673865 |
0.334 |
|
| 1970 |
Silverstone HJ, Holloway TT. Explicit Formulas for the Nth‐Order Wavefunction and Energy in Nondegenerate Rayleigh–Schrödinger Perturbation Theory The Journal of Chemical Physics. 52: 1472-1475. DOI: 10.1063/1.1673153 |
0.323 |
|
| 1970 |
Marron MT, Handy NC, Parr RG, Silverstone HJ. Solution of the Hartree-Fock problem by expansion onto nested bases International Journal of Quantum Chemistry. 4: 245-255. DOI: 10.1002/Qua.560040303 |
0.554 |
|
| 1969 |
Rothstein SM, Welsch JE, Silverstone HJ. Method of local configuration interaction applied to electronic systems. Hydrogen atom and hydrogen molecule ion The Journal of Chemical Physics. 51: 2932-2936. DOI: 10.1063/1.1672437 |
0.337 |
|
| 1969 |
Kay KG, Todd HD, Silverstone HJ. Bipolar Expansion for r12nYlm(θ12, φ12) Journal of Chemical Physics. 51: 2363-2367. DOI: 10.1063/1.1672353 |
0.305 |
|
| 1969 |
Kay KG, Todd HD, Silverstone HJ. Dirac Delta Functions in the Laplace‐Type Expansion of rnYlm(θ, φ) Journal of Chemical Physics. 51: 2359-2362. DOI: 10.1063/1.1672352 |
0.346 |
|
| 1969 |
Kay KG, Silverstone HJ. Analytical Evaluation of Multicenter Integrals of r12−1 with Slater‐Type Atomic Orbitals IV. Four‐Center Integrals by Taylor Series Method Journal of Chemical Physics. 51: 956-961. DOI: 10.1063/1.1672162 |
0.348 |
|
| 1969 |
Kay KG, Silverstone HJ. Analytical Evaluation of Multicenter Integrals of r12−1 with Slater‐Type Atomic Orbitals. V. Four‐Center Integrals by Fourier‐Transform Method Journal of Chemical Physics. 51: 4287-4304. DOI: 10.1063/1.1671791 |
0.353 |
|
| 1969 |
Silverstone HJ, Kay KG. Convergence properties of certain formulas for multicenter electron repulsion integrals obtained from the bipolar expansion of r12 -1 The Journal of Chemical Physics. 50: 4942-4949. DOI: 10.1063/1.1671015 |
0.347 |
|
| 1968 |
Silverstone HJ, Yin M. Modified Perturbation Theory for Atoms and Molecules Based on a Hartree–Fock φ0 Journal of Chemical Physics. 49: 2026-2030. DOI: 10.1063/1.1670363 |
0.304 |
|
| 1968 |
Silverstone HJ, Kay KG. Analytical Evaluation of Multicenter Integrals of r12−1 with Slater‐Type Atomic Orbitals. III. (2–2)‐Type Three‐Center Integrals The Journal of Chemical Physics. 48: 4108-4115. DOI: 10.1063/1.1669746 |
0.381 |
|
| 1967 |
Silverstone HJ. ANALYTICAL EVALUATION OF THREE- AND FOUR-CENTER INTEGRALS OF r(12) WITH SLATER-TYPE ORBITALS. Proceedings of the National Academy of Sciences of the United States of America. 58: 34-6. PMID 16578650 DOI: 10.1073/Pnas.58.1.34 |
0.301 |
|
| 1967 |
Silverstone HJ, Sinanoğlu O. Symmetry Properties of One‐ and Two‐Electron Correlation Functions in the Many‐Electron Theory of Atoms and Molecules Journal of Chemical Physics. 46: 854-859. DOI: 10.1063/1.1840816 |
0.333 |
|
| 1967 |
Silverstone HJ. Series Expansion for Two‐Center Noninteger‐n Coulomb Integrals Journal of Chemical Physics. 46: 4377-4380. DOI: 10.1063/1.1840555 |
0.306 |
|
| 1967 |
Silverstone HJ, Joy HW. Valence states of carbon in π-electron systems. I. Alternant-hydrocarbon ground states The Journal of Chemical Physics. 47: 1384-1392. DOI: 10.1063/1.1712092 |
0.369 |
|
| 1967 |
Silverstone HJ. Expansion about an arbitrary point of three-dimensional functions involving spherical harmonics by the Fourier-transform convolution theorem The Journal of Chemical Physics. 47: 537-540. DOI: 10.1063/1.1711926 |
0.334 |
|
| 1966 |
Silverstone HJ. On the Evaluation of Two‐Center Overlap and Coulomb Integrals with Noninteger‐n Slater‐Type Orbitals Journal of Chemical Physics. 45: 4337-4341. DOI: 10.1063/1.1727493 |
0.343 |
|
| 1966 |
Silverstone HJ, Sinano?lu O. Many-electron theory of nonclosed-shell atoms and molecules. II. Variational theory The Journal of Chemical Physics. 44: 3608-3617. DOI: 10.1063/1.1727272 |
0.316 |
|
| 1966 |
Silverstone HJ, Sinano?lu O. Many-electron theory of nonclosed-shell atoms and molecules. I. Orbital wavefunction and perturbation theory The Journal of Chemical Physics. 44: 1899-1907. DOI: 10.1063/1.1726959 |
0.367 |
|
| 1966 |
Silverstone HJ, Joy HW, Orloff MK. Toward a Better 2pπ-Atomic Orbital for π-Electron Theory1 Journal of the American Chemical Society. 88: 1325-1327. DOI: 10.1021/Ja00958A048 |
0.308 |
|
| 1965 |
Silverstone HJ. Energy differences and Parr's integral hellmann-feynman theorem The Journal of Chemical Physics. 43: 4537-4539. DOI: 10.1063/1.1696740 |
0.311 |
|
| 1964 |
Silverstone HJ, Wood DE, Mcconnell HM. Study of molecular orbital degeneracy in C7H7 The Journal of Chemical Physics. 41: 2311-2323. DOI: 10.1063/1.1726265 |
0.393 |
|
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