On the solution of the schrödinger equation with position-dependent mass

SEZGİN M.

Universe, vol.6, no.3, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 3
  • Publication Date: 2020
  • Doi Number: 10.3390/universe6030038
  • Journal Name: Universe
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, Directory of Open Access Journals
  • Keywords: Casimir operator, Decomposition, Lie group, Schrödinger equation
  • Trakya University Affiliated: Yes

Abstract

We have considered the Iwasawa and Gauss decompositions for the Lie group SL(2,R). According to these decompositions, the Casimir operators of the group and the Hamiltonians with position-dependent mass were expressed. Then, the unbound state solutions of the Schrödinger equations with position-dependent mass were given.