A new class of quasi-exactly solvable potentials with a position-dependent mass

Ramazan Koç, Mehmet Koca, Eser Körcük

Research output: Contribution to journalArticle

56 Citations (Scopus)

Abstract

A new class of quasi-exactly solvable potentials with a variable mass in the Schrödinger equation is presented. We have derived a general expression for the potentials, including Natanzon confluent potentials. The general solution of the Schrödinger equation is determined and the eigenstates are expressed in terms of the orthogonal polynomials.

Original languageEnglish
JournalJournal of Physics A: Mathematical and General
Volume35
Issue number35
DOIs
Publication statusPublished - Sep 6 2002

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Polynomials
Dependent
General Solution
Orthogonal Polynomials
eigenvectors
polynomials
Class

ASJC Scopus subject areas

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

Cite this

A new class of quasi-exactly solvable potentials with a position-dependent mass. / Koç, Ramazan; Koca, Mehmet; Körcük, Eser.

In: Journal of Physics A: Mathematical and General, Vol. 35, No. 35, 06.09.2002.

Research output: Contribution to journalArticle

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