English

Effective Mass Schrodinger Equation for Exactly Solvable Class of One-Dimensional Potentials

Quantum Physics 2007-12-27 v1

Abstract

We deal with the exact solutions of Schrodinger equation characterized by position-dependent effective mass via point canonical transformations. The Morse, Poschl-Teller and Hulthen type potentials are considered respectively. With the choice of position-dependent mass forms, exactly solvable target potentials are constructed. Their energy of the bound states and corresponding wavefunctions are determined exactly.

Keywords

Cite

@article{arxiv.quant-ph/0608054,
  title  = {Effective Mass Schrodinger Equation for Exactly Solvable Class of One-Dimensional Potentials},
  author = {Metin Aktas and Ramazan Sever},
  journal= {arXiv preprint arXiv:quant-ph/0608054},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-07-22T19:56:27.089Z