1. 

A theoretical study of the electron spin resonance spectra of cycloheptatrienyl
Harris Julian Silverstone
Ph.D. Thesis, California Institute of Technology, 1964, (University Microfilms, Inc., Ann Arbor, Michigan, No. 65-6532).

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3.7 MB

2. 

Study of molecular orbital degeneracy in C_7H_7
H. J. Silverstone, D. E. Wood and H. M. McConnell
J. Chem. Phys. 41, 2311-2323 (1964).

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1.1 MB

3. 

Electron Correlation in nonclosed shell systems
Harris J. Silverstone and Oktay Sinano?lu
in Modern Quantum Chemistry - Istanbul Lectures, Part II, O. Sinano?lu, editor, (Academic Press, Inc., New York, 1965), pp. 99-121.

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1.6 MB

4. 

Energy differences and Parr's Integral Hellmann-Feynman Theorem
Harris J. Silverstone
J. Chem. Phys. 43, 4537-4539 (1965).

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260 KB

5. 

Toward a better 2p?-atomic orbital for ?-electron theory
Harris J. Silverstone, Hubert W. Joy and Malcolm K. Orloff
J. Am. Chem. Soc. 88, 1325-1327 (1966).

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336 KB

6. 

Many-electron theory of nonclosed-shell atoms and molecules. I. Orbital wavefunction and perturbation theory
Harris J. Silverstone and Oktay Sinano?lu
J. Chem. Phys. 44, 1899-1907 (1966).

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700 KB

7. 

Many-electron theory of nonclosed-shell atoms and molecules. II. Variational theory
Harris J. Silverstone and Oktay Sinano?lu
J. Chem. Phys. 44, 3608-3617 (1966).

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740 KB

8. 

On the evaluation of two-center overlap and coulomb integrals with non-integer-n Slater type orbitals
Harris J. Silverstone
J. Chem. Phys. 45, 4337-4341 (1966).

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244 KB

9. 

Symmetry properties of one- and two-electron correlation functions in the many-electron theory of atoms and molecules
Harris J. Silverstone and Oktay Sinano?lu
J. Chem. Phys. 46, 854-859 (1967).

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412 KB

10. 

Nonempirical evaluation of ?-electron charge density dependence of proton isotropic hyperfine coupling constants.  An application of the valence state model
Kenneth G. Kay and Harris J. Silverstone
J. Chem. Phys. 46, 2854-2855 (1967).

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172 KB

11. 

Series expansion for two-center noninteger-n overlap integrals
Harris J. Silverstone
J. Chem. Phys. 46, 4368-4376 (1967).

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468 KB

12. 

Series expansion for two-center noninteger-n coulomb integrals
Harris J. Silverstone
J. Chem. Phys. 46, 4377-4380 (1967).

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204 KB

13. 

Analytical evaluation of three- and four-center integrals of r_{12}^{-1} with Slater-type orbitals
Harris J. Silverstone
Proc. Natl. Acad. Sci. U.S. 58, 34-36 (1967).

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292 KB

14. 

Expansion about an arbitrary point of three-dimensional functions involving spherical harmonics by the Fourier transform convolution theorem
Harris J. Silverstone
J. Chem. Phys. 47, 537-540 (1967).

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224 KB

15. 

Valence states of carbon in ?-electron systems. I. Alternant hydrocarbon ground states
Harris J. Silverstone
J. Chem. Phys. 47, 1384-1392 (1967).

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548 KB

16. 

Valence states of carbon in ?-electron system. II. Excited states and ions
Hubert W. Joy and Harris J. Silverstone
Molec. Phys. 13, 149-156 (1967).

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692 KB

17. 

Energy calculation by the method of local moments
Harris J. Silverstone, Moon-Lung Yin and R. L. Somorjai
J. Chem. Phys. 47, 4824-4827 (1967).

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244 KB

18. 

Analytical evaluation of multicenter integrals of r_{12}^{-1} with Slater-type atomic orbitals. I. (1-2)-type three-center integrals
Harris J. Silverstone
J. Chem. Phys. 48, 4098-4106 (1968).

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540 KB

19. 

Analytical evaluation of multicenter integrals of r_{12}^{-1}with Slater-type atomic orbitals.  II. Three-center nuclear attraction integrals
Harris J. Silverstone
J. Chem. Phys. 48, 4106-4108 (1968).

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208 KB

20. 

Analytical evaluation of multicenter integrals of r_{12}^{-1} with Slater-type atomic orbitals.  III. (2-2)-type three-center integrals
Harris J. Silverstone and Kenneth G. Kay
J. Chem. Phys. 48, 4108-4115 (1968).

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428 KB

21. 

Modified perturbation theory for atoms and molecules based on a Hartree-Fock \phi_0
Harris J. Silverstone and Moon-Lung Yin
J. Chem. Phys. 49, 2026-2030 (1968).

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404 KB

22. 

Some aspects of electron correlation in open-shell states. 2^{1}P and 2^{3}P helium
Moon-Lung Yin and Harris J. Silverstone
J. Chem. Phys. 49, 3160-3164 (1968).

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400 KB

23. 

Long-range behavior of Hartree-Fock orbitals
Nicholas C. Handy, Michael T. Marron, and Harris J. Silverstone
Phys. Rev. 180, 45-48 (1969).

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556 KB

24. 

Convergence properties of certain formulas for multicenter electron repulsion integrals obtained from the bipolar expansion of r_{12}^{-1}
Harris J. Silverstone and Kenneth G. Kay
J. Chem. Phys. 50, 5045-5047 (1969).

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228 KB

25. 

Analytical evaluation of multicenter integrals of r_{12}^{-1} with Slater-type atomic orbitals.  IV.  Four-center integrals by Taylor series method
Kenneth G. Kay and Harris J. Silverstone
J. Chem. Phys. 51, 956-961 (1969).

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344 KB

26. 

Dirac delta functions in the Laplace-type expansion of r^{n}Y^{l}_{m}(\theta,\phi)
Kenneth G. Kay, H. David Todd, and Harris J. Silverstone
J. Chem. Phys. 51, 2359-2362 (1969).

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220 KB

27. 

Bipolar expansion for r^{n}Y^{l}_{m}(\theta,\phi)
Kenneth G. Kay, H. David Todd, and Harris J. Silverstone
J. Chem. Phys. 51, 2363-2367 (1969).

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328 KB

28. 

Method of local configuration interaction applied to electronic systems.  Hydrogen atom and hydrogen molecule ion
Stuart M. Rothstein, James E. Welsch, and Harris J. Silverstone
J. Chem. Phys. 51, 2932-2936 (1969).

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320 KB

29. 

Analytical evaluation of multicenter integrals of r_{12}^{-1} with Slater-type atomic orbitals. V. Four-center integrals by Fourier-transform method
Kenneth G. Kay and Harris J. Silverstone
J. Chem. Phys. 51, 4287-4304 (1969).

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840 KB

30. 

Rational function approximation for atomic and molecular wavefunctions
Gail Wilson and Harris J. Silverstone
Int. J. Quantum Chem 3, 1067-1068 (1969).

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160 KB

31. 

Explicit formulas for the nth order wavefunction and energy in nondegenerate Rayleigh-Schrödinger perturbation theory
Harris J. Silverstone and Thomas T. Holloway
J. Chem. Phys. 52, 1472-1475 (1970).

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212 KB

32. 

Solution of the Hartree-Fock problem by expansion onto nested bases
Michael T. Marron, Nicholas C. Handy, Robert G. Parr, and Harris J. Silverstone
Int. J. Quantum Chem. 4, 245-255 (1970).

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856 KB

33. 

Analytical evaluation of three-center one-electron integrals of r^{n}Y^{l}_{m}(\theta,\phi) with Slater-type atomic orbitals
Harris J. Silverstone and H. David Todd
Int. J. Quantum Chem Symposium 4, 371-383 (1971).

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968 KB

34. 

Unified treatment of two-center overlap, coulomb, and kinetic-energy integrals
H. David Todd, Kenneth G. Kay, and Harris J. Silverstone
J. Chem. Phys. 53, 3951-3956 (1970).

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452 KB

35. 

Comment on "The evaluation of three-center nuclear attraction integrals"
Kenneth G. Kay, Harris J. Silverstone, and B. Kleinman
J. Chem. Phys. 53, 2545-2546 (1970).

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116 KB

36. 

Analytical evaluation of multicenter integrals of r_{12}^{-1} with Slater-type atomic orbitals.  VI.  Asymptotic expansions for large internuclear distances
Kenneth G. Kay and Harris J. Silverstone
J. Chem. Phys. 53, 4269-4285(1970).

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980 KB

37. 

Explicit solution for the wavefunction and energy in degenerate Rayleigh-Schrödinger perturbation theory
Harris J. Silverstone
J. Chem. Phys. 54, 2325-2335 (1971).

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900 KB

38. 

Kinetic energy expectation values with discontinuous approximate wave functions
Harris J. Silverstone and Edward W. Stuebing
Phys. Rev. A 5, 1092-1093 (1972).

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284 KB

39. 

Explicit formulas in degenerate Rayleigh-Schrödinger perturbation theory for the energy and wavefunction, based on a formula of Lagrange
Harris J. Silverstone and Thomas T. Holloway
Phys. Rev A 4, 2191-2199 (1971).

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1.2 MB

40. 

Complex variable theory
Harris J. Silverstone
Chapter 3 in Physical Chemistry, An Advanced Treatise, Vol. XI, Mathematical Methods, Edited by Douglas Henderson (Academic Press, Inc., New York, 1975), pp. 151-260.

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6.8 MB

41. 

Piecewise polynomial electronic wavefunctions
Jose Luis Gazquez and Harris J. Silverstone
J. Chem. Phys. 67, 1887-1898 (1977).

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856 KB

42. 

Hartree-Fock equations for open shell states
Harris J. Silverstone
J. Chem. Phys. 67, 4172-4180 (1977).

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632 KB

43. 

Perturbation theory of resonant states induced by an electrostatic field: one-dimensional model
Tokio Yamabe, Akitomo Tachibana and Harris J. Silverstone
J. Phys. B 10, 2083-2100 (1977).

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904 KB

44. 

Theory of the ionization of the hydrogen atom by an external electrostatic field
Tokio Yamabe, Akitomo Tachibana and Harris J. Silverstone
Phys. Rev. A 16, 877-890 (1977).

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1.7 MB

45. 

Expansion of a function about a displaced center
Harris J. Silverstone and Richard K. Moats
Phys. Rev. A 16, 1731-1732 (1977).

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116 KB

46. 

Piecewise polynomial basis functions for configuration interaction and many-body perturbation theory calculations.  The radial limit of helium
Harris J. Silverstone, Dennis P. Carroll, and David M. Silver
J. Chem. Phys. 68, 616-618 (1978).

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208 KB

47. 

Perturbation theory of the Stark effect in hydrogen to arbitrarily high order
Harris J. Silverstone
Phys. Rev. A 18, 1853-1864 (1978).

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1.4 MB

48. 

Piecewise polynomial configuration interaction natural orbital study of 1s^2 helium
Dennis P. Carroll, Harris J. Silverstone, and Robert Melville Metzger
J. Chem. Phys. 71, 4142-4163 (1979).

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1.5 MB

49. 

Pseudo-eigenvalue equation for natural orbitals of two-electron systems and long-range behavior
Harris J. Silverstone, Dennis P. Carroll, and Robert Melville Metzger
J. Chem. Phys. 70, 5919 (1979).

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244 KB

50. 

Calculation of Stark effect energy shifts by Padé approximants of Rayleigh-Schrödinger perturbation theory
Harris J. Silverstone and Peter M. Koch
J. Phys. B 12, L537-L541 (1979).

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284 KB

51. 

Stark effect in hydrogen: dispersion relation, asymptotic formulas, and calculation of the ionization rate via high-order perturbation theory
Harris J. Silverstone, Barry G. Adams, Ji?í ?ížek, and Peter Otto
Phys. Rev. Lett. 43, 1498-1501 (1979).

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536 KB

52. 

Bender-Wu formulas for degenerate eigenvalues
B. G. Adams, J. E. Avron, J. ?ížek, P. Otto J. Paldus, R. K. Moats, and Harris J. Silverstone
Phys. Rev. A 21, 1914-1916 (1980).

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360 KB

53. 

Asymptotic behavior of atomic Hartree-Fock orbitals
George S. Handler, Darwin W. Smith, and Harris J. Silverstone
J. Chem. Phys. 73, 3936-3939 (1980).

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176 KB

54. 

Practical recursive solution of degenerate Rayleigh-Schrödinger perturbation theory and application to high-order calculations of the Zeeman effect in hydrogen
Harris J. Silverstone and Richard K. Moats
Phys. Rev. A 23, 1645-1654 (1981).

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1.4 MB

55. 

Long-range behavior of electronic wavefunctions; generalized Carlson-Keller expansion
Harris J. Silverstone
Phys. Rev. A 23, 1030-1037 (1981).

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1.2 MB

56. 

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
Harris J. Silverstone, Evans Harrell, and Christina Grot
Phys. Rev. A 24, 1925-1934 (1981).

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1.3 MB

57. 

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
Harris J. Silverstone
Int. J. Quantum Chem. 21, 125-131 (1982).

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576 KB

58. 

Recent progress on three-center integrals using Fourier-transform-based analytical formulas
H. David Todd, Kenneth C. Daiker, Robert D. Cloney, S. J., Richard K. Moats, and Harris J. Silverstone
in ETO Multicenter Molecular Integrals, Charles A. Weatherford and Herbert W. Jones, editors, (D. Reidel Publishing Company, Boston, 1982), pp. 73-89.

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2.2 MB

59. 

1/R Expansion for H_{2}^{+}: analyticity, summability, asymptotics, and calculation of exponentially small terms
Robert J. Damburg, Rafail Kh. Propin, Sandro Graffi, Vincenzo Grecchi, Evans M. Harrell II, Ji?í ?ížek, Josef Paldus, and Harris J. Silverstone
Phys. Rev. Lett. 52, 1112-1115 (1984).

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592 KB

60. 

On definitions of L convergence of atomic correlation energies
Karol Jankowski, Daniel W. Zaharevitz, and Harris J. Silverstone
J. Chem. Phys. 82, 1969-1972 (1985).

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412 KB

61. 

Resonances and convergence of perturbation theory for N-body atomic systems in external AC-electric field
S. Graffi, V. Grecchi, and H. J. Silverstone
Ann. Inst. Henri. Poincaré (A) 42, 215-234 (1985).

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1.4 MB

62. 

Complex energies from real perturbation series for the LoSurdo-Stark effect in hydrogen by Borel-Padé approximants
Valter Franceschini, Vincenzo Grecchi, and Harris J. Silverstone
Phys. Rev. A 32, 1338-1340 (1985).

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556 KB

63. 

Observations on the summability of confluent hypergeometric functions and on semiclassical quantum mechanics
Harris J. Silverstone, Sachiko Nakai, and Jonathan G. Harris
Phys. Rev. A 32, 1341-1345 (1985).

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964 KB

64. 

Asymptotics of high-order perturbation theory for the one-dimensional anharmonic oscillator by quasisemiclassical methods
Harris J. Silverstone, Jonathan G. Harris, Ji?í ?ížek, and Josef Paldus
Phys. Rev. A 32, 1965-1980 (1985).

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2.6 MB

65. 

1/R Expansion for H_{2}^{+}: analyticity, summability, and asymptotics
S. Graffi, V. Grecchi, E. M. Harrell II, and H. J. Silverstone
Ann. Phys. (NY) 165, 441-483 (1985).

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3.3 MB

66. 

Piecewise polynomial Hylleraas configuration interaction wavefunctions for helium
D. W. Zaharevitz, H. J. Silverstone, and D. M. Silver
in Supercomputer Applications, Proceedings of the Supercomputer Applications Symposium cosponsored by the Purdue University Computing Center, the Purdue Center of Parallel and Vector Computing, and Control Data, held October 31 - November 1, 1984, in West Lafayette, Indiana, edited by R. W. Numrich (Plenum Press, New York, 1985), pp. 263-271.

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812 KB

67. 

1/R Expansion for H_{2}^{+}: calculation of exponentially small terms and asymptotics
Ji?í ?ížek, Robert J. Damburg, Sandro Graffi, Vincenzo Grecchi, Evans M. Harrell II, Jonathan G. Harris, Sachiko Nakai, Josef Paldus, Rafail Kh. Propin, and Harris J. Silverstone
Phys. Rev. A 33, 12-54 (1986).

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8.8 MB

68. 

Reality and complexity in asymptotic expansions for eigenvalues and eigenfunctions, with application to the JWKB connection-formula problem
Harris J. Silverstone
Int. J. Quantum Chem. 29, 261-272 (1986).

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1.2 MB

69. 

JWKB connection-formula problem revisited via Borel summation
Harris J. Silverstone
Phys. Rev. Lett. 55, 2523-2526 (1985).

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228 KB

70. 

LoSurdo-Stark effect for a hydrogenic impurity in a thin layer:  Two-dimensional model
Kazuyoshi Tanaka, Masahiro Kobashi, Tokushige Shichiri, Tokio Yamabe, David M. Silver, and Harris J. Silverstone
Phys. Rev. B 35, 2513-2516 (1987).

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476 KB

71. 

Classical resonance overlapping and quantum avoided crossings
Sandro Graffi, Thierry Paul, and Harris J. Silverstone
Phys. Rev. Lett. 59, 255-258 (1987).

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548 KB

72. 

On the use of asymptotic expansions
Modris Gailitis and Harris J. Silverstone
Theor. Chim. Acta 73, 105-114 (1988).

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464 KB

73. 

Resonance overlapping in classical mechanics and avoided crossings in quantum mechanics
S. Graffi, T. Paul, and H. J. Silverstone
Phys. Rev. A 37, 2214-2219 (1988).

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1.3 MB

74. 

Transition from classical to quantum mechanics:  x^4 perturbed harmonic oscillator
Gabriel Alvarez, Sandro Graffi, and Harris J. Silverstone
Phys. Rev. A 38, 1687-1696 (1988).

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1.6 MB

75. 

Resonance Contributions to the Photoionization Spectrum of Atomic Hydrogen in an Electric Field
Gabriel Alvarez and Harris J. Silverstone
Phys. Rev. Lett. 63, 1364-1367 (1989).

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596 KB

76. 

Photoionization cross section: exact expansion over resonances and natural line shape
Gabriel Alvarez and Harris J. Silverstone
Phys. Rev. A 40, 3690-3697 (1989).

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1.1 MB

77. 

High-order perturbation theory and its application to atoms in strong fields
Harris J. Silverstone
in Atoms in Strong Fields, edited by C. A. Nicolaides, C. W. Clark, and M. H. Nayfeh, (Plenum, New York, 1990), pp. 295–307.

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1.4 MB

78. 

Photoionization of Atomic Hydrogen in an Electric Field
Gabriel Alvarez, Robert J. Damburg, and Harris J. Silverstone
Phys. Rev. A 44, 3060-3082 (1991).

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3.3 MB

79. 

EPR Spectroscopy of Interdoublet Transitions in High-Spin Iron: Applications to Transferrin Oxalate
Kutbuddin S. Doctor, B. J. Gaffney, Gabriel Alvarez, and Harris J. Silverstone
J. Phys. Chem. 97, 3028-3033 (1993).

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1.2 MB

80. 

Simulation of the EMR Spectra of High-Spin Iron in Proteins
Betty J. Gaffney and Harris J. Silverstone
Chapter 1 of Biological Magnetic Resonance, Volume 13: EMR of Paramagnetic Molecules, edited by Lawrence J. Berliner and Jacques Reuben (Plenum, New York, 1993), pp. 1-57.

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4.7 MB

81. 

Large-field behavior of the LoSurdo-Stark resonances in atomic hydrogen
Gabriel Alvarez and Harris J. Silverstone
Phys. Rev. A 50, 4679-4699 (1994).

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2.6 MB

82. 

Exact expansion methods for atomic hydrogen in an external electrostatic field: divergent perturbation series, Borel summability, semiclassical approximation, and expansion of photoionization cross-section over resonance eigenvalues
Harris J. Silverstone
Chapter 10 of Modern Electronic Structure Theory, edited by David R. Yarkony (World Scientific Publishing Co., Singapore, 1995).

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2.3 MB

83. 

Simulation methods for looping transitions
Betty J. Gaffney and Harris J. Silverstone
J. Magn. Reson. 134, 57-66 (1998).

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328 KB

84. 

On the summations involving Wigner rotation matrix elements
Shan-Tao Lai, Pancracio Palting, Ying-Nan Chiu, and Harris J. Silverstone
J. Math. Chem. 24, 123-132 (1998).

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80 KB

85. 

Connection formula, hyperasymptotics, and Schrödinger eigenvalues: dispersive hyperasymptotics and the anharmonic oscillator
Gabriel Álvarez, Christopher J. Howls, and Harris J. Silverstone
in Toward the Exact WKB Analysis of Differential Equations, Linear or Non-Linear, edited by Christopher J. Howls, Takahiro Kawai, and Yoshitsugu Takei (Kyoto University Press, Kyoto, 2000), pp. 121-134.

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1.2 MB

86. 

Anharmonic oscillator discontinuity formulae up to second-exponentially-small order
Gabriel Álvarez, Christopher J. Howls, and Harris J. Silverstone
J. Phys. A 35, 4003-4016 (2002).

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168 KB

87. 

Dispersive hyperasymptotics and the anharmonic oscillator
Gabriel Álvarez, Christopher J. Howls, and Harris J. Silverstone
J. Phys. A 35, 4017-4042 (2002).

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328 KB

88. 

JWKB method as an exact technique
Hujun Shen and Harris J. Silverstone
Int. J. Quantum Chem. 99, 336-352 (2004).

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204 KB

89. 

On the computation of (2-2)-three-center Slater-type-orbital integrals of 1/r_{12} using Fourier-transform-based analytical formulas
Danko Antolovic and Harris J. Silverstone
Int. J. Quantum Chem. 100, 146-154 (2004).

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184 KB

90. 

On the bidirectionality of the JWKB connection-formula at a linear turning point
Hujun Shen and Harris J. Silverstone
Collect. Czech. Chem. Commun. (Collection of Czechoslovak Chemical Communications) 70, 740-754 (2005).

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128 KB

91. 

Observations on the JWKB treatment of the quadratic barrier
Hujun Shen and Harris J. Silverstone
in Algebraic analysis of differential equations: from microlocal analysis to exponential asymptotics: Festschrift in honor of Takahiro Kawai, T. Aoki, H. Majima, Y. Takei, and N. Tose, eds., (Springer-Verlag, 2008), pp. 237-250.

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212 KB