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The bifurcated harmonic oscillator

Name: The bifurcated harmonic oscillator
Creator: PATIL, SH
Keywords: 0103 physical sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 10 May 2005 India Publisher:IOP PublishingJournal:Journal of Physics A: Mathematical and General, volume 38, pages 4,705-4,714 (issn: 0305-4470, eissn: 1361-6447,

Authors: PATIL, SH;

doi: 10.1088/0305-4470/38/21/014

handle: 10054/9218

The bifurcated harmonic oscillator

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Abstract

Summary: Some general properties of a bifurcated oscillator potential in one dimension are analysed. Appropriate wavefunctions in different regions with continuity conditions lead to a simple relation for the energies. The properties of these energies for small and large values of separation are used to develop simple and accurate expressions for the energies of all the states for all values of separation.

Country

India

Related Organizations

Indian Institue of Technology, Bombay
India

Keywords

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics

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