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1

JWKB method as an exact technique

Hujun Shen, Harris J. Silverstone

Journal:

International Journal of Quantum Chemistry

Year:

2004

Language:

english

File:

PDF, 203 KB

english, 2004

2

JWKB Connection-Formula Problem Revisited via Borel Summation

Silverstone, Harris J.

Journal:

Physical Review Letters

Year:

1985

Language:

english

File:

PDF, 651 KB

english, 1985

3

On the computation of (2-2) three-center Slater-type orbital integrals of 1/r12 using Fourier-transform-based analytical formulas

Danko Antolovic, Harris J. Silverstone

Journal:

International Journal of Quantum Chemistry

Year:

2004

Language:

english

File:

PDF, 143 KB

english, 2004

4

On the use of asymptotic expansions

Modris Gailitis, Harris J. Silverstone

Journal:

Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta)

Year:

1988

Language:

english

File:

PDF, 585 KB

english, 1988

5

Theory of the ionization of the hydrogen atom by an external electrostatic field

Yamabe, Tokio, Tachibana, Akitomo, Silverstone, Harris J.

Journal:

Physical Review A

Year:

1977

Language:

english

File:

PDF, 942 KB

english, 1977

6

Complex energies from real perturbation series for the LoSurdo-Stark effect in hydrogen by Borel-Padé approximants

Franceschini, Valter, Grecchi, Vincenzo, Silverstone, Harris J.

Journal:

Physical Review A

Year:

1985

Language:

english

File:

PDF, 163 KB

english, 1985

7

: Calculation of exponentially small terms and asymptotics

Cížek, Jiří, Damburg, Robert J., Graffi, Sandro, Grecchi, Vincenzo, Harrell, Evans M., Harris, Johathan G., Nakai, Sachiko, Paldus, Josef, Propin, Rafail Kh., Silverstone, Harris J.

Journal:

Physical Review A

Year:

1986

Language:

english

File:

PDF, 5.12 MB

english, 1986

8

: Analyticity, Summability, Asymptotics, and Calculation of Exponentially Small Terms

Damburg, Robert J., Propin, Rafail Kh., Graffi, Sandro, Grecchi, Vincenzo, Harrell, Evans M., Čížek, Jiří, Paldus, Josef, Silverstone, Harris J.

Journal:

Physical Review Letters

Year:

1984

Language:

english

File:

PDF, 250 KB

english, 1984

9

Two-Center Noninteger- n Overlap, Coulomb, and Kinetic Energy Integrals by Numerical Contour Integration

Silverstone, Harris J.

Journal:

Journal of Physical Chemistry A

Year:

2014

Language:

english

File:

PDF, 314 KB

english, 2014

10

Many-Electron Theory of Nonclosed-Shell Atoms and Molecules. I. Orbital Wavefunction and Perturbation Theory

Silverstone, Harris J.

Journal:

The Journal of Chemical Physics

Year:

1966

Language:

english

File:

PDF, 857 KB

english, 1966

11

Observations on the summability of confluent hypergeometric functions and on semiclassical quantum mechanics

Silverstone, Harris J., Nakai, Sachiko, Harris, Jonathan G.

Journal:

Physical Review A

Year:

1985

Language:

english

File:

PDF, 316 KB

english, 1985

12

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

Silverstone, Harris J., Harrell, Evans, Grot, Christina

Journal:

Physical Review A

Year:

1981

Language:

english

File:

PDF, 482 KB

english, 1981

13

perturbed harmonic oscillator

Alvarez, Gabriel, Graffi, Sandro, Silverstone, Harris J.

Journal:

Physical Review A

Year:

1988

Language:

english

File:

PDF, 479 KB

english, 1988

14

Practical recursive solution of degenerate Rayleigh-Schrödinger perturbation theory and application to high-order calculations of the Zeeman effect in hydrogen

Silverstone, Harris J., Moats, Richard K.

Journal:

Physical Review A

Year:

1981

Language:

english

File:

PDF, 710 KB

english, 1981

15

Photoionization of atomic hydrogen in an electric field

Alvarez, Gabriel, Damburg, Robert J., Silverstone, Harris J.

Journal:

Physical Review A

Year:

1991

Language:

english

File:

PDF, 1.91 MB

english, 1991

16

LoSurdo-Stark effect for a hydrogenic impurity in a thin layer: Two-dimensional model

Tanaka, Kazuyoshi, Kobashi, Masahiro, Shichiri, Tokushige, Yamabe, Tokio, Silver, David M., Silverstone, Harris J.

Journal:

Physical Review B

Year:

1987

Language:

english

File:

PDF, 139 KB

english, 1987

17

Asymptotics of high-order perturbation theory for the one-dimensional anharmonic oscillator by quasisemiclassical methods

Silverstone, Harris J., Harris, Jonathan G., Čížek, Jirí, Paldus, Josef

Journal:

Physical Review A

Year:

1985

Language:

english

File:

PDF, 993 KB

english, 1985

18

Long-Range Behavior of Hartree-Fock Orbitals

Handy, Nicholas C., Marron, Michael T., Silverstone, Harris J.

Journal:

Physical Review (Series I)

Year:

1969

Language:

english

File:

PDF, 592 KB

english, 1969

19

Valence states of carbon in π-electron systems

Joy, Hubert W., Silverstone, Harris J.

Journal:

Molecular Physics

Year:

1967

Language:

english

File:

PDF, 597 KB

english, 1967

20

Simulation Methods for Looping Transitions

Betty J. Gaffney, Harris J. Silverstone

Journal:

Journal of Magnetic Resonance

Year:

1998

Language:

english

File:

PDF, 327 KB

english, 1998

21

Rational function approximation for atomic and molecular wave functions

Gail Wilson, Harris J. Silverstone

Journal:

International Journal of Quantum Chemistry

Year:

1969

Language:

english

File:

PDF, 100 KB

english, 1969

22

Analytical evaluation of three-center one-electron integrals of rNYML (θ,ϕ) with slater-type atomic orbitals

Harris J. Silverstone, H. David Todd

Journal:

International Journal of Quantum Chemistry

Year:

1970

Language:

english

File:

PDF, 520 KB

english, 1970

23

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

Journal:

International Journal of Quantum Chemistry

Year:

1982

Language:

english

File:

PDF, 309 KB

english, 1982

24

Reality and complexity in asymptotic expansions for eigenvalues and eigenfunctions, with application to the JWKB connection-formula problem

Harris J. Silverstone

Journal:

International Journal of Quantum Chemistry

Year:

1986

Language:

english

File:

PDF, 627 KB

english, 1986

25

On the summations involving Wigner rotation matrix elements

Shan-Tao Lai, Pancracio Palting, Ying-Nan Chiu, Harris J. Silverstone

Journal:

Journal of Mathematical Chemistry

Year:

1998

Language:

english

File:

PDF, 77 KB

english, 1998

26

Expansion about an Arbitrary Point of Three-Dimensional Functions Involving Spherical Harmonics by the Fourier-Transform Convolution Theorem

Silverstone, Harris J.

Journal:

The Journal of Chemical Physics

Year:

1967

Language:

english

File:

PDF, 438 KB

english, 1967

27

Piecewise polynomial electronic wavefunctions

Gázquez, José Luis, Silverstone, Harris J.

Journal:

The Journal of Chemical Physics

Year:

1977

Language:

english

File:

PDF, 1.04 MB

english, 1977

28

Expansion of a function about a displaced center

Silverstone, Harris J., Moats, Richard K.

Journal:

Physical Review A

Year:

1977

Language:

english

File:

PDF, 66 KB

english, 1977

29

On the Evaluation of Two-Center Overlap and Coulomb Integrals with Noninteger-n Slater-Type Orbitals

Silverstone, Harris J.

Journal:

The Journal of Chemical Physics

Year:

1966

Language:

english

File:

PDF, 488 KB

english, 1966

30

Analytical Evaluation of Multicenter Integrals of r12−1 with Slater-Type Atomic Orbitals. III. (2–2)-Type Three-Center Integrals

Silverstone, Harris J.

Journal:

The Journal of Chemical Physics

Year:

1968

Language:

english

File:

PDF, 692 KB

english, 1968

31

Analytical Evaluation of Multicenter Integrals of r[sub 12]− 1] with Slater-Type Atomic Orbitals. I. (1-2)-Type Three-Center Integrals

Silverstone, Harris J.

Journal:

The Journal of Chemical Physics

Year:

1968

Language:

english

File:

PDF, 786 KB

english, 1968

32

Asymptotic behavior of atomic Hartree–Fock orbitals

Handler, George S., Smith, Darwin W., Silverstone, Harris J.

Journal:

The Journal of Chemical Physics

Year:

1980

Language:

english

File:

PDF, 428 KB

english, 1980

33

Convergence Properties of Certain Formulas for Multicenter Electron Repulsion Integrals Obtained from the Bipolar Expansion of r[sub 12]−1]

Silverstone, Harris J.

Journal:

The Journal of Chemical Physics

Year:

1969

Language:

english

File:

PDF, 470 KB

english, 1969

34

Perturbation theory of the Stark effect in hydrogen to arbitrarily high order

Silverstone, Harris J.

Journal:

Physical Review A

Year:

1978

Language:

english

File:

PDF, 891 KB

english, 1978

35

Analytical Evaluation of Three- and Four-Center Integrals of r12-1with Slater-Type Orbitals

Harris J. Silverstone

Journal:

Proceedings of the National Academy of Sciences

Year:

1967

Language:

english

File:

PDF, 310 KB

english, 1967

36

Convergence of the bipolar expansion for the coulomb potential

Silverstone, Harris J.

Journal:

International Journal of Quantum Chemistry

Year:

2014

Language:

english

File:

PDF, 499 KB

english, 2014

37

Toward a Better 2pπ-Atomic Orbital for π-Electron Theory 1

Silverstone, Harris J., Joy, Hubert W., Orloff, Malcolm K.

Journal:

Journal of the American Chemical Society

Year:

1966

Language:

english

File:

PDF, 335 KB

english, 1966

38

Long-range behavior of electronic wave functions. Generalized Carlson-Keller expansion

Silverstone, Harris J.

Journal:

Physical Review A

Year:

1981

Language:

english

File:

PDF, 549 KB

english, 1981

39

Pseudo-eigenvalue equation for natural orbitals of two-electron systems and long range behavior

Silverstone, Harris J., Carroll, Dennis P., Metzger, Robert Melville

Journal:

The Journal of Chemical Physics

Year:

1979

Language:

english

File:

PDF, 500 KB

english, 1979

40

Energy Differences and Parr's Integral Hellmann—Feynman Theorem

Silverstone, Harris J.

Journal:

The Journal of Chemical Physics

Year:

1965

Language:

english

File:

PDF, 454 KB

english, 1965

41

On definitions of L convergence of atomic correlation energies

Jankowski, Karol, Zaharevitz, Daniel W., Silverstone, Harris J.

Journal:

The Journal of Chemical Physics

Year:

1985

Language:

english

File:

PDF, 521 KB

english, 1985

42

Kinetic-Energy Expectation Values with Discontinuous Approximate Wave Functions

Silverstone, Harris J., Stuebing, Edward W.

Journal:

Physical Review A

Year:

1972

Language:

english

File:

PDF, 144 KB

english, 1972

43

Explicit Formulas in Degenerate Rayleigh-Schrödinger Perturbation Theory for the Energy and Wave Function, Based on a Formula of Lagrange

Silverstone, Harris J., Holloway, Thomas T.

Journal:

Physical Review A

Year:

1971

Language:

english

File:

PDF, 535 KB

english, 1971

44

Stark Effect in Hydrogen: Dispersion Relation, Asymptotic Formulas, and Calculation of the Ionization Rate via High-Order Perturbation Theory

Silverstone, Harris J., Adams, Barry G., Cizek, Jiri, Otto, Peter

Journal:

Physical Review Letters

Year:

1979

Language:

english

File:

PDF, 573 KB

english, 1979

45

Resonance contributions to the photoionization spectrum of atomic hydrogen in an electric field

Alvarez, Gabriel, Silverstone, Harris J.

Journal:

Physical Review Letters

Year:

1989

Language:

english

File:

PDF, 658 KB

english, 1989

46

Classical resonance overlapping and quantum avoided crossings

Graffi, Sandro, Paul, Thierry, Silverstone, Harris J.

Journal:

Physical Review Letters

Year:

1987

Language:

english

File:

PDF, 600 KB

english, 1987

47

Piecewise polynomial basis functions for configuration interaction and many-body perturbation theory calculations. The radial limit of helium

Silverstone, Harris J., Carroll, Dennis P., Silver, David M.

Journal:

The Journal of Chemical Physics

Year:

1978

Language:

english

File:

PDF, 415 KB

english, 1978

48

Symmetry Properties of One- and Two-Electron Correlation Functions in the Many-Electron Theory of Atoms and Molecules

Silverstone, Harris J.

Journal:

The Journal of Chemical Physics

Year:

1967

Language:

english

File:

PDF, 606 KB

english, 1967

49

Valence States of Carbon in π-Electron Systems. I. Alternant-Hydrocarbon Ground States

Silverstone, Harris J.

Journal:

The Journal of Chemical Physics

Year:

1967

Language:

english

File:

PDF, 725 KB

english, 1967

50

Large-field behavior of the LoSurdo-Stark resonances in atomic hydrogen

Alvarez, Gabriel, Silverstone, Harris J.

Journal:

Physical Review A

Year:

1994

Language:

english

File:

PDF, 1.00 MB

english, 1994