A variational-iterative technique applied to quantum mechanical problems
- 21 February 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (3), 559-567
- https://doi.org/10.1088/0305-4470/17/3/017
Abstract
A technique for solving nonlinear operator equations iteratively is applied to quantum mechanical calculations. It is shown that alternative methods of applying the technique lead to another way of approaching variational calculations and generalisations of perturbation theory respectively.Keywords
This publication has 5 references indexed in Scilit:
- Variational principles and variational—iterative principles for a class of problemsJournal of Mathematical Analysis and Applications, 1981
- A new approach to the eigenvalue problem in quantum mechanics: convergent perturbation theory for rising potentialsJournal of Physics A: General Physics, 1981
- Complementary variational principles and variational-iterative principlesJournal of Physics A: General Physics, 1981
- Feenberg–Goldhammer Procedure and Geometric Approximation in Hartree–Fock Perturbation TheoryThe Journal of Chemical Physics, 1970
- Hydrogen-Atom Polarizability as a Hartree–Fock Perturbation Expansion: A Geometric Approximation to Atomic PolarizabilitiesThe Journal of Chemical Physics, 1968