Effective mass schrödinger equation for exactly solvable class of one-dimensional potentials

Aktaş M., Sever R.

Journal of Mathematical Chemistry, vol.43, no.1, pp.92-100, 2008 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 1
  • Publication Date: 2008
  • Doi Number: 10.1007/s10910-006-9181-y
  • Journal Name: Journal of Mathematical Chemistry
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.92-100
  • Keywords: Effective mass schrödinger equation, Hulthén potential, Morse potential, Pöschl-teller potential, Point canonical transformation, Position-dependent mass
  • Ankara Yıldırım Beyazıt University Affiliated: No

Abstract

We deal with the exact solutions of Schrödinger equation characterized by position-dependent effective mass via point canonical transformations. The Morse, Pöschl-Teller, and Hulthén 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. © 2006 Springer Science+Business Media, Inc.