English

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 (D2D\geq 2) 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

R2 v1 2026-06-21T11:28:05.221Z