Solving the Schrödinger equation with use of 1/N perturbation theory
- 1 April 1984
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 25 (4) , 943-950
- https://doi.org/10.1063/1.526211
Abstract
The large N expansion provides a powerful new tool for solving the Schrödinger equation. In this paper, we present simple recursion formulas which facilitate the calculation. We do some numerical calculations which illustrate the speed and accuracy of the techniqueKeywords
This publication has 14 references indexed in Scilit:
- Semiclassical perturbation theory for the hydrogen atom in a uniform magnetic fieldPhysical Review A, 1982
- Pseudo-spin structure and large N expansion for a class of generalized helium HamiltoniansAnnals of Physics, 1981
- SO(2, 1) algebra and the large N expansion in quantum mechanicsAnnals of Physics, 1980
- Large-order behaviour of the 1/N expansion in zero and one dimensionsJournal of Physics A: General Physics, 1979
- The Zeeman effect revisitedPhysics Letters A, 1977
- Atoms in high magnetic fields (white dwarfs)Reports on Progress in Physics, 1977
- Statistical mechanics of one-dimensional Ginzburg-Landau fields: Feynman graph evaluation of the screening approximation (n-1expansion)Journal of Physics A: Mathematical, Nuclear and General, 1974
- Statistical mechanics of one-dimensional Ginzburg-Landau fields. II. A test of the screening approximationexpansion)Physical Review A, 1974
- The Spin-Wave Theory of AntiferromagneticsPhysical Review B, 1952
- An Approximate Quantum Theory of the Antiferromagnetic Ground StatePhysical Review B, 1952