Spectrum of the relativistic particles in various potentials

Ramazan Koç, Mehmet Koca

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We extend the notion of Dirac oscillator in two dimensions, to construct a, set of potentials. These potentials become exactly and quasi-exactly solvable potentials of nonrelativistic quantum mechanics when they are transformed into a Schrödinger-like equation. For the exactly solvable potentials, eigenvalues are calculated and eigenfunctions are given by confluent hypergeometric functions. It is shown that, our formulation also leads to the study of those potentials in the framework of the supersymmetric quantum mechanics.

Original languageEnglish
Pages (from-to)911-921
Number of pages11
JournalModern Physics Letters A
Volume20
Issue number12
DOIs
Publication statusPublished - Apr 20 2005

Fingerprint

relativistic particles
Confluent Hypergeometric Function
Supersymmetric Quantum Mechanics
Quantum Mechanics
Paul Adrien Maurice Dirac
Eigenfunctions
Two Dimensions
quantum mechanics
Eigenvalue
Formulation
hypergeometric functions
eigenvectors
eigenvalues
oscillators
formulations
Framework

Keywords

  • Dirac equation
  • Exactly solvable potentials
  • Quasi-exactly solvable potentials

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Nuclear and High Energy Physics

Cite this

Spectrum of the relativistic particles in various potentials. / Koç, Ramazan; Koca, Mehmet.

In: Modern Physics Letters A, Vol. 20, No. 12, 20.04.2005, p. 911-921.

Research output: Contribution to journalArticle

Koç, Ramazan ; Koca, Mehmet. / Spectrum of the relativistic particles in various potentials. In: Modern Physics Letters A. 2005 ; Vol. 20, No. 12. pp. 911-921.
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