Solutions of Pauli-Dirac equation in terms of Laguerre polynomials within perturbative scheme

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ARDA A.

CANADIAN JOURNAL OF PHYSICS, vol.99, no.9, pp.778-782, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 99 Issue: 9
  • Publication Date: 2021
  • Doi Number: 10.1139/cjp-2021-0013
  • Journal Name: CANADIAN JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Chemical Abstracts Core, Communication Abstracts, Computer & Applied Sciences, Environment Index, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.778-782
  • Keywords: Pauli-Dirac equation, bounded solution, Rayleigh-Schrodinger perturbation theory, associated Laguerre polynomials analytical solution, ANOMALOUS MAGNETIC-MOMENT, NEUTRAL PARTICLE
  • Hacettepe University Affiliated: Yes

Abstract

We search for first- and second-order corrections to the energy levels of the Pauli-Dirac equation within the RayleighSchrodinger theory. We use some identities satisfied by the associated Laguerre polynomials to reach this aim. We give a list presenting analytical forms of some integrals including two associated Laguerre polynomials, or their derivatives.