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

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.

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Bibliographic Details
Published in:International journal of modern physics. Conference series 2012, Vol.17, p.149-158
Main Authors: NAKAMURA, TORU, EZAWA, HIROSHI, WATANABE, KEIJI, IRISAWA, TOSHIHARU
Format: Article
Language:English
Subjects:
GENERAL COMPUTATIONAL AND ANALYTICAL METHODS
Online Access:Get full text
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Description
Summary: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.
ISSN:2010-1945
2010-1945
DOI:10.1142/S2010194512008045