Variational upper bounds to second-order energies for excited states.
Excited state energy upper bounds in second order perturbation theory using Hylleraas variational principle
Epstein, S. T.↗
Engineering topics
Epstein, S. T.
Publications and source records attributed to Epstein, S. T..
Note on the excited vibrational states of molecules in the adiabatic approximation.
Nonrelativistic energy of excited vibrational state of molecule calculated in adiabatic approximation shown to be upper bound to exact nonrelativistic energy
Epstein, S. T.↗
General remainder theorem.
Remainder theorem of Rayleigh-Schroedinger perturbation theory for calculating wave functions to higher order
Epstein, S. T.↗
Variational upper and lower bounds on the dynamic polarizability at imaginary frequencies.
Dynamic polarizability at imaginary frequencies, deriving upper and lower variational bounds with functionals containing trial functions
Epstein, S. T.↗
The application of perturbation theories for exchange forces to a simple model.
Perturbation theories for exchange intermolecular forces application to exactly soluble spin model
Epstein, S. T.↗
Connections between several perturbation theories of intermolecular forces.
Perturbation theories of intermolecular forces compared for connections of equivalency
Epstein, S. T.↗
Two notes on perturbation theory. 1 - Interchange theorems and the variation principle. 2 - PV in a different notation
Interchange theorems and variational principle in perturbation theory
Epstein, S. T.↗
Uniqueness of the energy in perturbation theory.
Ambiguities in perturbation equations solution for wave function proved to produce no corresponding ambiguities in energy
Epstein, S. T.↗
The application of perturbation theories for exchange forces to a simple model
Convergence of perturbation theories for energy exchange forces into solvable mathematical model
Epstein, S. T.↗
Improvement of uncoupled Hartree-Fock expectation values for physical properties. II.
Atomic and ionic polarizabilites values compared using coupled Hartree-Fock approximation and uncoupled approximation with first order corrections
Epstein, S. T.↗
Recursion relations for Coulomb matrix elements.
Recursion relations for Coulomb matrix elements, with psi and psi prime wave functions describing bound state
Epstein, J. H.↗
Evaluation of long-range retarded interaction energies.
Long range retarded interaction energies, obtaining energy term coefficient from minimal principle using Karplus and Kolker method
MOLECULAR INTERACTION↗
Integrated and integral Hellmann-Feynman formulas.
Integrated and integral Hellmann-Feyman formulas for isoelectronic molecular process energy difference
FEYNMAN DIAGRAM↗
Improvement of uncoupled Hartree-Fock expectation values for physical properties, II
Improvement of uncoupled Hartree-Fock expectation values for physical properties
EXPECTANCY HYPOTHESIS↗
Hellmann-Feynman theorem in curvilinear coordinate systems.
Hellmann-Feynman theorem in curvilinear coordinates for exact and for floating variational wave functions
COORDINATE SYSTEM↗
Remarks on the use of approximate wavefunctions for the second-order perturbation energy.
Approximate ground state wave functions used in calculation of interaction energies by second- order perturbation theory
ELECTRON INTERACTION↗
Time-dependent Hellmann-Feynman theorems for variational wavefunctions.
Conditions under which optimal wave functions satisfy various time-dependent Hellmann-Feynman theorems
HELLMANN-FEYNMAN THEOREM↗