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