Exactly solvable effective mass D-dimensional Schrodinger equation for pseudoharmonic and modified Kratzer problems
Quantum Physics
2015-05-13 v1
Abstract
We employ the point canonical transformation (PCT) to solve the D-dimensional Schr\"{o}dinger equation with position-dependent effective mass (PDEM) function for two molecular pseudoharmonic and modified Kratzer (Mie-type) potentials. In mapping the transformed exactly solvable D-dimensional () Schr\"{o}dinger equation with constant mass into the effective mass equation by employing a proper transformation, the exact bound state solutions including the energy eigenvalues and corresponding wave functions are derived. The well-known pseudoharmonic and modified Kratzer exact eigenstates of various dimensionality is manifested.
Keywords
Cite
@article{arxiv.0810.1159,
title = {Exactly solvable effective mass D-dimensional Schrodinger equation for pseudoharmonic and modified Kratzer problems},
author = {Sameer M. Ikhdair and Ramazan Sever},
journal= {arXiv preprint arXiv:0810.1159},
year = {2015}
}
Comments
13 pages