Energy Spectra of the Coulomb Perturbed Potential in <em>N</em>-Dimensional Hilbert Space

doi:10.1088/0256-307X/29/6/060306

Chin. Phys. Lett.

2012, Vol. 29

Issue (6): 060306 DOI: 10.1088/0256-307X/29/6/060306

GENERAL

Energy Spectra of the Coulomb Perturbed Potential in N-Dimensional Hilbert Space

Ramesh Kumar, Fakir Chand^**

Department of Physics, Kurukshetra University, Kurukshetra-136119, India

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Ramesh Kumar, Fakir Chand 2012 Chin. Phys. Lett. 29 060306

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Abstract

We deal with the solutions to the radial Schröinger equation for the Coulomb perturbed potential in N-dimensional Hilbert space by using two methods, i.e. the power series technique via a suitable ansatz to the wavefunction and the Virial theorem. Analytic expressions for eigenvalues and normalized eigenfunctions are derived. A recursion relation among series expansion coefficients, a condition for convergence of series and inter-dimensional degeneracies are also investigated. As special cases, the problem is solved in 3 and 4 dimensions with some specific parameter values. The obtained analytical and numerical results are in good agreement with the results of other studies.

Received: 15 March 2012 Published: 31 May 2012

PACS:

03.65.Ge

(Solutions of wave equations: bound states)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/6/060306 OR https://cpl.iphy.ac.cn/Y2012/V29/I6/060306

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