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Advances in High Energy Physics
Volume 2015, Article ID 137038, 8 pages
http://dx.doi.org/10.1155/2015/137038
Research Article

Exact Analytical Solution of the -Dimensional Radial Schrödinger Equation with Pseudoharmonic Potential via Laplace Transform Approach

1Kodalia Prasanna Banga High School (H.S), South 24 Parganas, Sonarpur 700146, India
2Department of Physics Education, Hacettepe University, 06800 Ankara, Turkey

Received 16 September 2015; Revised 1 December 2015; Accepted 7 December 2015

Academic Editor: Ming Liu

Copyright © 2015 Tapas Das and Altuğ Arda. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

The second-order -dimensional Schrödinger equation with pseudoharmonic potential is reduced to a first-order differential equation by using the Laplace transform approach and exact bound state solutions are obtained using convolution theorem. Some special cases are verified and variations of energy eigenvalues as a function of dimension are furnished. To give an extra depth of this paper, the present approach is also briefly investigated for generalized Morse potential as an example.