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Research PapersNo Access

ALGEBRAIC APPROACH TO QUASI-EXACT SOLUTIONS OF THE KLEIN–GORDON–COULOMB PROBLEM

Department of Physics, University of Guilan, Rasht 51335-1914, Iran

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Department of Physics, University of Guilan, Rasht 51335-1914, Iran

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https://doi.org/10.1142/S0217732312501763Cited by:10 (Source: Crossref)

Abstract

The Klein–Gordon equation in the presence of generalized Coulomb potential is solved and the quasi-exact solutions are obtained via the sl(2) algebraization. The condition of quasi-exact solvability is derived by matching the condition of invariant subspace on the problem. The Lie-algebraic approach of quasi-exact solvability is applied to the problem and the (n+1)×(n+1) matrix for finite values of n is obtained in quite a detailed manner and thereby the finite part of the spectrum is obtained.

Keywords:

PACS: 03.65.Fd, 03.65.Ge

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Journal cover image

Vol. 27, No. 30

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History

Received 14 June 2012

Revised 29 August 2012

Accepted 29 August 2012

Published: 19 September 2012

Keywords