A systematic study on the exact solution of the position dependent mass Schrödinger equation

Ramazan Koç, Mehmet Koca

Research output: Contribution to journalArticle

102 Citations (Scopus)

Abstract

An algebraic method of constructing potentials for which the Schrödinger equation with position dependent mass can be solved exactly is presented. A general form of the generators of su(1,1) algebra has been employed with a unified approach to the problem. Our systematic approach reproduces a number of earlier results and also leads to some novelties. We show that the solutions of the Schrödinger equation with position dependent mass are free from the choice of parameters for position dependent mass. Two classes of potentials are constructed that include almost all exactly solvable potentials.

Original languageEnglish
Pages (from-to)8105-8112
Number of pages8
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number29
DOIs
Publication statusPublished - Jul 25 2003

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Algebra
Exact Solution
Dependent
Algebraic Methods
algebra
generators
Generator
Class
Form

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

A systematic study on the exact solution of the position dependent mass Schrödinger equation. / Koç, Ramazan; Koca, Mehmet.

In: Journal of Physics A: Mathematical and General, Vol. 36, No. 29, 25.07.2003, p. 8105-8112.

Research output: Contribution to journalArticle

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