Aspects of Time-Dependent Perturbation Theory

Methods of Theoretical Physics

1954 • 13,575 citations

Theory of ordinary differential equations

1956 • 5,705 citations

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1963 • 4,956 citations

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1962 • 4,126 citations

Space-Time Approach to Non-Relativistic Quantum Mechanics

1948 • 4,029 citations

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1961 • 3,289 citations

Note on Exchange Phenomena in the Thomas Atom

1930 • 3,092 citations

Solution of the Schrödinger Equation with a Hamiltonian Periodic in Time

1965 • 2,640 citations

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1931 • 2,475 citations

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1954 • 2,273 citations

Ensemble Method in the Theory of Irreversibility

1960 • 2,256 citations

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1927 • 2,051 citations

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1930 • 1,703 citations

Beweis des Adiabatensatzes

1928 • 1,315 citations

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1949 • 1,301 citations

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1971 • 1,290 citations

Derivation of the Brueckner many-body theory

1957 • 1,242 citations

Introduction to Non-linear Mechanics

2024 • 1,184 citations

An Operator Calculus Having Applications in Quantum Electrodynamics

1951 • 1,147 citations

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1968 • 1,059 citations

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1951 • 1,058 citations

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2018 • 1,032 citations

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1965 • 975 citations

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1926 • 955 citations

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1961 • 935 citations

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2018 • 924 citations

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1962 • 866 citations

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1937 • 815 citations

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1925 • 733 citations

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1954 • 707 citations

Quantisierung als Eigenwertproblem

1926 • 655 citations

Sur la théorie des perturbations des états liés

1958 • 646 citations

Optical Harmonics and Nonlinear Phenomena

1963 • 618 citations

The quantum theory of atomic structure

1961 • 575 citations

A variational solution of the time-dependent Schrodinger equation

1964 • 555 citations

On the Exponential Form of Time-Displacement Operators in Quantum Mechanics

1966 • 541 citations

Correlation Effects in Atoms

1963 • 518 citations

Polarizability of the Hydrogen Molecule

1967 • 504 citations

Calculation of Nonlinear Optical Susceptibilities Using Diagrammatic Perturbation Theory

1965 • 458 citations

A guide to Feynman diagrams in the many-body problem

1979 • 452 citations

Time-Dependent Hartree—Fock Theory for Molecules

1964 • 447 citations

Optical Third Harmonic Generation in Gases by a Focused Laser Beam

1969 • 446 citations

Optically-Induced Magnetization Resulting from the Inverse Faraday Effect

1965 • 444 citations

Über das Verhältnis der Heisenberg‐Born‐Jordanschen Quantenmechanik zu der meinem

1926 • 420 citations

The quantum theory of dispersion

1927 • 414 citations

Miscellanea in Elementary Quantum Mechanics, II

1953 • 397 citations

Optical Rectification

1962 • 396 citations

Theoretical Discussion of the Inverse Faraday Effect, Raman Scattering, and Related Phenomena

1966 • 364 citations

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1958 • 362 citations

Approximations to Hartree—Fock Perturbation Theory

1966 • 357 citations

Quantum Theory of Dispersion (Continued). Parts VI and VII

1933 • 334 citations

Dispersion forces

1962 • 321 citations

Wave mechanics : advanced general theory

1934 • 312 citations

Energy corrections and persistent perturbation effects in continuous spectra

1955 • 297 citations

Nonempirical Calculations on Excited States: The Ethylene Molecule

1967 • 293 citations

Perturbed Hartree–Fock Theory. I. Diagrammatic Double-Perturbation Analysis

1969 • 289 citations

Optical Activity in Absorbing Media

1959 • 287 citations

One-Electron Rotatory Power

1937 • 279 citations

Light Shifts in the Alkali Atoms

1968 • 265 citations

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2010 • 248 citations

Molecular hyperpolarisabilities

1967 • 246 citations

Second-Harmonic Generation of Light with Double Refraction

1965 • 245 citations

Elektrodynamik und Wellenmechanik vom Standpunkt des Korrespondenzprinzips

1927 • 237 citations

Effective Operator Formalism in Optical Pumping

1967 • 233 citations

Scattering Theory of Absorption-Line Profiles and Refractivity

1967 • 218 citations

A Variation-Perturbation Approach to the Interaction of Radiation with Atoms and Molecules

1963 • 209 citations

Multiphoton Spectroscopy

1967 • 208 citations

Radiative Effects in Semiclassical Theory

1969 • 206 citations

The time-dependent coupled Hartree-Fock approximation

1966 • 203 citations

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1961 • 200 citations

Advanced Quantum Mechanics

2004 • 195 citations

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1931 • 191 citations

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1971 • 188 citations

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1963 • 182 citations

Theories of Optical Rotatory Power.

1940 • 173 citations

Long-Term Solutions in Semiclassical Radiation Theory

1970 • 167 citations

Perturbation theory for atomic systems

1959 • 161 citations

Multipole Polarizabilities and Shielding Factors from Hartree-Fock Wave Functions

1965 • 158 citations

Padé Approximants for Two- and Three-Body Dipole Dispersion Interactions

1970 • 154 citations

Das Adiabatenprinzip in der Quantenmechanik

1927 • 153 citations

Pressure, Light, and Temperature Shifts in Optical Detection of 0-0 Hyperfine Resonance of Alkali Metals

1961 • 153 citations

Stark Effect in the Excited States of Rb, Cs, Cd, and Hg

1968 • 149 citations

Correlation Effects in Atomic Structure Using the Random-Phase Approximation

1964 • 148 citations

The foundations of nonequilibrium statistical mechanics, I

1963 • 143 citations

The concept of the photon

1972 • 143 citations

Padé Summation of the Cauchy Dispersion Equation*

1969 • 140 citations

Sur la détermination de l'état fondamental d'un système de particules

1958 • 138 citations

Optical Third-Harmonic Generation in Gases

1967 • 137 citations

Some comments on the time-dependent variation principle

1972 • 135 citations

Optical Dispersion

1932 • 133 citations

Nonempirical Calculations on Excited States: The Formaldehyde Molecule

1968 • 130 citations

Time‐dependent Hartree–Fock calculations in the Pariser–Parr–Pople model. Applications to aniline, azulene and pyridine

1970 • 125 citations

Evaluation of Long-Range Retarded Interaction Energies

1967 • 119 citations

Frequency Dependence of the Higher Susceptibilities

1968 • 112 citations

The refractive index of helium

1965 • 104 citations

The foundations of nonequilibrium statistical mechanics, II

1963 • 104 citations

Padé Approximants to the Normal Dispersion Expansion of Dynamic Polarizabilities

1970 • 99 citations

Current methods for the study of the Stark effect in atoms

1967 • 96 citations

Élargissement et déplacement des raies de résonance magnétique causés par une excitation optique

1961 • 95 citations

Higher Polarizability of the Helium Atom

1966 • 94 citations

Formal Theory of Nonlinear Response

1967 • 93 citations

Electric Dipole Hyperpolarizabilities for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-State Atoms and Ions

1966 • 77 citations

Time-dependent Hartree-Fock theory

1964 • 76 citations

Variational Approach to Perturbation Theory. I. Application to the Calculation of Atomic Polarizabilities

1965 • 74 citations

Hyperpolarizabilities of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>, He, and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Li</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>

1968 • 72 citations

Quantum Theory of Dispersion

1932 • 70 citations

Nonlinear Optics

1966 • 70 citations

A new method of expansion in mathematical physics - I

1965 • 67 citations

Displacement of Energy Levels of Atoms by Light

1963 • 66 citations

Time-Dependent Variation-Perturbation Method for Many-Electron Systems

1963 • 61 citations

Light Shifts in Semiclassical Dispersion Theory

1966 • 58 citations

Bounds for van der Waals Coefficients from Padé Approximants

1967 • 55 citations

Quantum Electrodynamics without Dead Wood

1965 • 54 citations

Fully Coupled Hartree-Fock Calculations of the Refractive Index, Dynamic Polarizability, and Verdet Coefficients of Helium, Beryllium, and Neon

1968 • 52 citations

Optical Properties of Atoms and Diatomic Molecules Calculated by a Time-Dependent Coupled Hartree–Fock Method

1970 • 48 citations

How to avoid « secular » terms in classical and quantum mechanics

1971 • 47 citations

Where Semiclassical Radiation Theory Fails

1971 • 45 citations

�ber die Richtungsverteilung der Photoelektronen

1927 • 44 citations

Advanced quantum theory

1966 • 44 citations

Quasi-periodic states of an oscillatory hamiltonian

1969 • 43 citations

Dynamic Polarizability of Helium

1968 • 40 citations

Variation-Perturbation Approach to the Interaction of Radiation with Matter

1962 • 39 citations

Spontaneous Emission in Semiclassical Radiation Theory

1971 • 38 citations

Refractive Index of the Hydrogen Molecule

1964 • 37 citations

Optical Third-Harmonic Coefficients for the Inert Gases

1968 • 36 citations

Two-quantum processes in the coupled Hartree-Fock approximation

1967 • 34 citations

Adiabatic Response to an Oscillatory Field

1970 • 33 citations

Variational Upper and Lower Bounds on the Dynamic Polarizability at Imaginary Frequencies

1968 • 33 citations

Uniform-Electric-Field Quadrupole Polarizabilities and Shielding Factors for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-State Atoms and Ions

1966 • 32 citations

General Perturbation and Variational Methods for Responses to Time-Dependent Interactions in Quantum Mechanics

1968 • 31 citations

Effect of Intra-atomic Correlation on London Dispersion Interactions: Use of Double-Perturbation Theory

1966 • 31 citations

Effect of Radiation Damping on Dispersion

1966 • 30 citations

Hartree-Fock Theory of Third-Harmonic and Intensity-Dependent Refractive-Index Coefficients

1971 • 29 citations

New Formulation of Time-Dependent Perturbation Theory

1967 • 29 citations

Self consistent calculation of dynamic multipole polarizabilities and excited state wave functions of open shell ions: Li sequence

1972 • 29 citations

Time-Dependent Perturbation Theory

1965 • 28 citations

A General Perturbation Method for Quantum Mechanical Problems

1966 • 28 citations

Self-Consistent Calculation of Dynamic Polarizability and Excited p-State Wavefunctions of Two-Electron Atom and Ions

1969 • 27 citations

Sum-rule moment bounds on long-range van der waals potentials

1971 • 27 citations

Self-Consistent Calculation of Dynamic Polarizability

1967 • 27 citations

Multipole Polarizabilities and London Dispersion Forces of He and Li+ Using Double Perturbation Theory

1970 • 26 citations

Time-Dependent Perturbation—Variation Method

1963 • 26 citations

Optical properties of molecular hydrogen

1967 • 25 citations

Analysis of the Karplus-Kolker approximation to Hartree-Fock perturbation theory

1971 • 25 citations

Theory of the Stimulated Raman and Related Effects

1965 • 24 citations

New Method for Constructing Solutions to Time-Dependent Perturbation Equations

1971 • 24 citations

Kerr dispersion of atomic sodium and lithium

1967 • 23 citations

Crystals with non-linear polarizability

1967 • 23 citations

Hartree—Fock Hamiltonians and Separable Nonlocal Potentials

1964 • 23 citations

Convergence of time dependent perturbation theory for autoionizing states of atoms

1971 • 21 citations

Complementary bounds for dynamic polarizabilities

1969 • 21 citations

Bounds for second-order optical properties from quantum-mechanical sum rules and the theory of moments

1971 • 20 citations

Variational principles for first-order wave functions

1969 • 20 citations

Coherent Detection of a New Type of Optical Double-Quantum Transition

1967 • 20 citations

Mean Excitation Energy for Stopping Power of Molecular Hydrogen

1969 • 19 citations

Moment theory bounds on long-range casimir—polder interactions

1971 • 18 citations

New derivation of time-dependent Hartree-Fock theory

1968 • 18 citations

A study of dynamic quadrupolar and octupolar excitations and calculations on excited d and f states of atom and ions: He‐sequence

1970 • 18 citations

Kerr dispersion in alkali metal vapours

1966 • 17 citations

Radiation and Absorption on Schrödinger's Theory

1927 • 17 citations

An Introduction to Fourier Methods and the Laplace Transformation

1959 • 17 citations

On the time-dependent perturbation theory

1970 • 17 citations

Nonlinear Perturbations

1969 • 15 citations

Time-dependent coupled Hartree-Fock calculation of some optical properties of H2

1970 • 12 citations

Time-Dependent Perturbation Theory of the Hartree—Fock Wavefunction of Atomic and Molecular Systems

1964 • 12 citations

Uniqueness of the Energy in Perturbation Theory

1968 • 12 citations

Extensions of the Adiabatic Theorem in Quantum Mechanics

1970 • 10 citations

Power Series of Kinetic Theory. I. Perturbation Expansion

1967 • 10 citations

Faraday Effect in Molecules

1971 • 10 citations

Coupled Hartree–Fock calculation of the electric dipole hyper‐polarizabilities: He sequence

1972 • 9 citations

Multiple-Time-Scale Perturbation Theory and Constant Atomic Transition Rates

1969 • 9 citations

Quantum-Mechanical Systems in Monochromatic and Nearly Monochromatic Fields

1972 • 9 citations

Variational Principle for the Time-Dependent Schrödinger Equation

1965 • 9 citations

Double Perturbation Theory Applied to Frequency-Dependent Polarizabilities. I

1968 • 9 citations

Advances in Magnetic Resonance

1968 • 8 citations

Cotton—Mouton Effect in Atoms and Molecules

1972 • 8 citations

Variational Approach to Perturbation Theory. II. An Extension of the Minimum Principle

1968 • 7 citations

Perturbation—Variation Approach to Optical Rotatory Power

1966 • 7 citations

Sur une méthode générale de perturbation en mécanique ondulatoire et son utilisation dans les problèmes de résonance

1969 • 7 citations

Time-dependent perturbation theory by gauge transformations

1964 • 7 citations

General Remainder Theorem

1968 • 6 citations

Kerr Effect in Atoms and Molecules

1972 • 6 citations

Problem of a Spin in a Time-Dependent Magnetic Field

1965 • 5 citations

An adiabatic theorem for variational wavefunctions

1972 • 4 citations

Double Magnetic Resonance of Coupled Spins

1967 • 4 citations

Constructive approach in the method of extension

1965 • 4 citations

Power Series of Kinetic Theory. II. Expansion with the Functional Ansatz

1967 • 4 citations

Solution of Schrödinger Equation Involving Time

1966 • 2 citations