PT-Symmetric solutions of schrodinger equation with position-dependent mass via point canonical transformation

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TEZCAN C., Sever R.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.47, no.5, pp.1471-1478, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 5
  • Publication Date: 2008
  • Doi Number: 10.1007/s10773-007-9589-6
  • Journal Name: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1471-1478
  • Keywords: position-dependent mass, point canonical transformation, effective mass Schrodinger equation, Generalized harmonic oscillator, Scarf potential, NON-HERMITIAN HAMILTONIANS, EXACTLY SOLVABLE POTENTIALS, PSEUDO-HERMITICITY, QUANTUM-MECHANICS, REAL, EIGENVALUES, GENERATION, SYSTEMS, STATES, SPACE
  • Middle East Technical University Affiliated: Yes

Abstract

PT-symmetric solutions of Schrodinger equation are obtained for the Scarf and generalized harmonic oscillator potentials with the position-dependent mass. A general point canonical transformation is applied by using a free parameter. Three different forms of mass distributions are used. A set of the energy eigenvalues of the bound states and corresponding wave functions for target potentials are obtained as a function of the free parameter.