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Published April 1984 | Published
Journal Article Open

Solving the Schrödinger equation with use of 1/N perturbation theory

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 technique.

Additional Information

© 1984 American Institute of Physics. Received 12 April 1983; accepted for publication 24 June 1983. LDM is grateful to Dr. Barbara Czermak and Dr. Dieter Maison for many stimulating discussions. We are also indebted to the Laboratory for Computer Science at the Massachusetts Institute of Technology for allowing us the use of MACSYMA to perform algebraic manipulations. Research supported in part by the U.S. National Science Foundation under Grant 81-19979. Work supported in part by the U.S. Department of Energy under Contract No. DE-AC03-81-ER40050.

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August 22, 2023
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