Generalized Schrodinger equations with energy-dependent potentials: Formalism and applications

Schulze-Halberg A., YEŞİLTAŞ Ö.

JOURNAL OF MATHEMATICAL PHYSICS, vol.59, no.11, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 59 Issue: 11
  • Publication Date: 2018
  • Doi Number: 10.1063/1.5058145
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Gazi University Affiliated: Yes

Abstract

The quantum mechanical formalism for systems featuring energy-dependent potentials is extended to systems governed by generalized Schrodinger equations that include the position-dependent mass case. Modified versions of the probability density and the probability current lead to adjustments in the scalar product and the norm. Our results are applied to several systems, including energy-dependent modifications of the Mathews-Lakshmanan oscillator and the generalized Swanson system. Published by AIP Publishing.