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Studies in perturbation theory XIII. Treatment of constants of motion in resolvent method, partitioning technique, and perturbation theory

Data up to Jan 2025

Published1968
Citations215
References51

Total Citations Per Year

Abstract

References (51)

Quantum Theory of Many-Particle Systems. I. Physical Interpretations by Means of Density Matrices, Natural Spin-Orbitals, and Convergence Problems in the Method of Configurational Interaction

1955 • 3,424 citations

Termaufspaltung in Kristallen

1929 • 1,134 citations

A Note on the Quantum-Mechanical Perturbation Theory

1951 • 924 citations

Molecular Orbitals in Chemistry Physics and Biology

1965 • 774 citations

Successive Approximations by the Rayleigh-Ritz Variation Method

1933 • 707 citations

Studies in Perturbation Theory. IV. Solution of Eigenvalue Problem by Projection Operator Formalism

1962 • 621 citations

Numerische Berechnung der 2S-Terme von Ortho- und Par-Helium

1930 • 512 citations

Studies in Perturbation Theory. X. Lower Bounds to Energy Eigenvalues in Perturbation-Theory Ground State

1965 • 432 citations

Studies in perturbation theory

1963 • 387 citations

The Principles of Quantum Mechanics

1935 • 374 citations

The Assignment of Quantum Numbers for Electrons in Molecules. I

1928 • 326 citations

Alternant molecular orbital method

1967 • 277 citations

Angular Momentum Wavefunctions Constructed by Projector Operators

1964 • 276 citations

Intermolecular Forces in the Region of Small Orbital Overlap

1967 • 245 citations

Studies in perturbation theory XIII. Treatment of constants of motion in resolvent method, partitioning technique, and perturbation theory

1968 • 215 citations

Lower Bounds for Eigenvalues of Schrödinger's Equation

1961 • 186 citations

Studies in Perturbation Theory. V. Some Aspects on the Exact Self-Consistent Field Theory

1962 • 182 citations

Studies in Perturbation Theory. IX. Connection Between Various Approaches in the Recent Development—Evaluation of Upper Bounds to Energy Eigenvalues in Schrödinger's Perturbation Theory

1965 • 174 citations

Studies in Perturbation Theory. XI. Lower Bounds to Energy Eigenvalues, Ground State, and Excited States

1965 • 146 citations

The Normal Constants of Motion in Quantum Mechanics Treated by Projection Technique

1962 • 137 citations

Group Algebra, Convolution Algebra, and Applications to Quantum Mechanics

1967 • 129 citations

New Type of Molecular Perturbation Treatment

1966 • 126 citations

Advances in Chemical Physics

1967 • 123 citations

Studies in perturbation theory

1964 • 114 citations

Perturbation Theory for Intermolecular Interactions in the Wave‐Operator Formalism

1967 • 98 citations

Lower Bounds for Eigenvalues with Application to the Helium Atom

1960 • 97 citations

Studies in perturbation theory

1964 • 96 citations

Schrödinger Perturbation Formalism for Exchange Interactions between Atoms or Molecules

1967 • 95 citations

The method of interior parallels applied to polygonal or multiply connected membranes

1963 • 77 citations

Studies in perturbation theory

1964 • 73 citations

Continued Fractions and Upper and Lower Bounds in the Brillouin‐Wigner Perturbation Scheme

1967 • 59 citations

Studies in perturbation theory

1964 • 56 citations

Lower bounds to eigenvalues using operator decompositions of the form B*B

1962 • 55 citations

A Procedure for Estimating Eigenvalues

1962 • 54 citations

Error Bounds for Expectation Values

1963 • 49 citations

Lower Bounds for the Energy Levels of Anharmonic Oscillators

1965 • 44 citations

Perturbation Theory in Wave Mechanics

1958 • 41 citations

Lower Bounds for Energy Levels of Molecular Systems

1963 • 36 citations

Exchange interactions between atoms or molecules in different perturbation formalisms. Application to three-atom exchange forces

1967 • 32 citations

Lower Bounds to Energy Eigenvalues for the Stark Effect in a Rigid Rotator

1965 • 30 citations

Lower-Bound Procedure for Energy Eigenvalues by the Partitioning Technique

1966 • 29 citations

Upper and Lower Bounds to the Eigenvalues of Double-Minimum Potentials

1965 • 29 citations

Convergent Schrödinger Perturbation Theory

1957 • 28 citations

Note on a perturbation theory for intermolecular interactions in the wave operator formalism

1967 • 25 citations

Lower Bounds to Eigenvalues of the Schrödinger Equation. II. Application to Helium and Li+

1967 • 23 citations

Lower bounds for all eigenvalues by cell functions: A refined form of H. F. Weinberger's method

1963 • 17 citations

On the Methods of One‐Dimensional Auxiliary Problems and of Domain Partitioning: Their Application to Lower Bounds for the Eigenvalues of Schrodinger's Equation

1964 • 11 citations

Resolvent Operator Formulation of Stationary State Perturbation Theory

1964 • 9 citations

Comments on ``Lower-Bound Procedure for Energy Eigenvalues by the Partitioning Technique''

1967 • 7 citations

On the calculation of lower bounds

1967 • 7 citations

Lower bounds to eigenvalues of the schrödinger equation by the partitioning technique

2009 • 5 citations

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