Self-adjoint Hamiltonians with a mass jump: General matching conditions

Gadella M., KURU Ş., Negro J.

PHYSICS LETTERS A, vol.362, no.4, pp.265-268, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 362 Issue: 4
  • Publication Date: 2007
  • Doi Number: 10.1016/j.physleta.2006.10.029
  • Journal Name: PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.265-268
  • Keywords: Hamiltonians with position-dependent mass, boundary conditions, self-adjointness, HETEROSTRUCTURES
  • Ankara University Affiliated: Yes

Abstract

The simplest position-dependent mass Hamiltonian in one dimension, where the mass has the form of a step function with a jump discontinuity at one point, is considered. The most general matching conditions at the jumping point for the solutions of the Schrodinger equation that provide a self-adjoint Hamiltonian are characterized. (c) 2006 Elsevier B.V. All rights reserved.