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

DAS, Tapas; Arda, ALTUĞ

doi:10.1155/2015/137038

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

DAS T., Arda A.

ADVANCES IN HIGH ENERGY PHYSICS, 2015 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2015
Doi Numarası: 10.1155/2015/137038
Dergi Adı: ADVANCES IN HIGH ENERGY PHYSICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Hacettepe Üniversitesi Adresli: Evet

Özet

The second-order N-dimensional Schrodinger 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 E-n as a function of dimension N are furnished. To give an extra depth of this paper, the present approach is also briefly investigated for generalized Morse potential as an example.