NEW METHOD FOR SCHRÖDINGER EIGENVALUE PROBLEM — The Case of the Potential V(x) = 2μx2 + λx4-Reference-Cited by-同舟云学术

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NEW METHOD FOR SCHRÖDINGER EIGENVALUE PROBLEM — The Case of the Potential V(x) = 2μx2 + λx4

Published:2012-01 Issue: Volume:17 Page:149-158
ISSN:2010-1945
Container-title:International Journal of Modern Physics: Conference Series
language:en
Short-container-title:Int. J. Mod. Phys. Conf. Ser.

Author:

NAKAMURA TORU¹,EZAWA HIROSHI¹,WATANABE KEIJI²,IRISAWA TOSHIHARU³

Affiliation:

1. Department of Physics, Gakushuin University, Mejiro, Toshima-ku, Tokyo 171-8588, Japan

2. Department of Physics, Meisei University, Hino-shi, Tokyo 191-8506, Japan

3. Computer Center, Gakushuin University, Mejiro, Toshima-ku, Tokyo 171-8588, Japan

Abstract

A new method is proposed to solve the Schrödinger eigenvalue problem. Remarkably the iteration procedure is found to be convergent in the case of the quartic potential for which the perturbation and the WKB method are known to give divergent series.

Publisher

World Scientific Pub Co Pte Lt

Link

https://www.worldscientific.com/doi/pdf/10.1142/S2010194512008045

Reference11 articles.

1. Anharmonic Oscillator

2. Exact semiclassical expansions for one-dimensional quantum oscillators

3. Coupling constant analyticity for the anharmonic oscillator

4. Anharmonic Oscillator. II. A Study of Perturbation Theory in Large Order

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