A pseudo Coulombian potential in D=1 dimensional space

In the D=1 dimensional space, we study the bound state solutions of the potential V(x) = -\frac{e}{x} + \frac{b}{x^2} (e, b>0). They occur on the right half-plane xin[0, ∞[. In the limit b→0, we recover the spectrum of the D=1 Coulomb potential. Supersymmetric properties are briefly discussed. Th...

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Bibliographic Details
Published in:Physica scripta 2009, Vol.80
Main Authors: J. Lombard, R., Mezhoud, R., Yekken, R.
Format: Article
Language:English
Subjects:
Nuclear Theory
Physics
Online Access:Get full text
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Summary:In the D=1 dimensional space, we study the bound state solutions of the potential V(x) = -\frac{e}{x} + \frac{b}{x^2} (e, b>0). They occur on the right half-plane xin[0, ∞[. In the limit b→0, we recover the spectrum of the D=1 Coulomb potential. Supersymmetric properties are briefly discussed. The model is extended by considering complex coupling constants. Nonlinear effects are also treated by considering a linear energy dependence of the e coupling constant.
ISSN:0031-8949
1402-4896
DOI:10.1088/0031-8949/80/06/065005