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Eigenvalues of the two-dimensional Schrodinger equation

Data up to Jan 2025

Published1982
Citations14
References32

Total Citations Per Year

Abstract

References (32)

Neue Berechnung der Energie des Heliums im Grundzustande, sowie des tiefsten Terms von Ortho-Helium

1929 • 1,578 citations

An improved eigenvalue corrector formula for solving the Schrödinger equation for central fields

1961 • 1,079 citations

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1962 • 691 citations

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi></mml:math>States of the Helium Isoelectronic Sequence up to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Z</mml:mi><mml:mo>=</mml:mo><mml:mn>10</mml:mn><mml:mn /></mml:math>

1971 • 515 citations

Configuration Interaction in Simple Atomic Systems

1961 • 438 citations

Studies in Configuration Interaction: The First-Row Diatomic Hydrides

1969 • 395 citations

Practical points concerning the solution of the Schrödinger equation

1967 • 348 citations

Configuration Interaction Studies of Ground and Excited States of Polyatomic Molecules. I. The CI Formulation and Studies of Formaldehyde

1969 • 284 citations

Testing of Diatomic Potential‐Energy Functions by Numerical Methods

1963 • 241 citations

Über ein leichtes Verfahren die in der Theorie der Säcularstörungen vorkommenden Gleichungen numerisch aufzulösen*).

1846 • 239 citations

Atomic Bethe-Goldstone Equations. III. Correlation Energies of Ground States of Be, B, C, N, O, F, and Ne

1968 • 210 citations

The iterative calculation of several of the lowest or highest eigenvalues and corresponding eigenvectors of very large symmetric matrices

1973 • 199 citations

Algorithm for Diagonalization of Large Matrices

1965 • 178 citations

Finite difference boundary value method for solving one-dimensional eigenvalue equations

1972 • 158 citations

Use of Asymptotically Correct Wave Function for Three-Body Rayleigh-Ritz Calculations

1969 • 89 citations

Numerical Solution of Schrödinger’s Equation

2022 • 84 citations

On the numerical solution of schroedinger's radial equation

1974 • 56 citations

A comparison between finite element methods and spectral methods as applied to bound state problems

1980 • 54 citations

Numerical Solution of the Two-Electron Schrödinger Equation

1970 • 47 citations

Eigenvalues of any parameter in the Schrodinger radial equation

1980 • 45 citations

Radial Limit in the Configuration-Interaction Method for the 1 1S State of the Helium Isoelectronic Sequence

1963 • 45 citations

Anharmonic force constants of polyatomic molecules. Test of the procedure for deducing a force field from the vibration-rotation spectrum

1976 • 39 citations

Wave Function of Ionized Lithium

1952 • 30 citations

Numerical Solution of the S-Limit Schrödinger Equation

1968 • 21 citations

Application of Configuration Interaction to the 23S State of Helium. II

1963 • 18 citations

Analytic potential with adjusted parameters for diatomic molecules

1975 • 13 citations

Numerical Solution of the (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mi>s</mml:mi><mml:mn>1</mml:mn><mml:mi>s</mml:mi></mml:math>) and (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mi>s</mml:mi><mml:mn>2</mml:mn><mml:mi>s</mml:mi></mml:math>) Hydrogenic Pair Equations

1970 • 13 citations

Numerical potential of diatomic molecules: quantum method

1974 • 9 citations

Internuclear potential for the B state of N+2

1975 • 8 citations

Numerical One-Center Calculation of the ns–σ Rydberg Series of H2+

1968 • 6 citations

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