Use of quantum self-friction potentials and forces in standard convention for study of harmonic oscillator

Guseinov I. I., Mamedov B. A.

INDIAN JOURNAL OF PHYSICS, vol.91, no.4, pp.371-376, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 91 Issue: 4
  • Publication Date: 2017
  • Doi Number: 10.1007/s12648-016-0947-1
  • Journal Name: INDIAN JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.371-376
  • Çanakkale Onsekiz Mart University Affiliated: Yes

Abstract

In this paper, the physical nature of quantum usual and self-friction (SF) harmonic oscillators is presented. The procedure for studying these harmonic oscillators is identical; therefore, we can benefit from the theory of the usual harmonic oscillator. To study the SF harmonic oscillator, using analytical formulae for the L(pl*)-SF Laguerre polynomials (L(p(l)*)-SFLPs) and L(alpha*)-modified SFLPs (L(alpha*)-MSFLPs) in standard convention, the V(p(l)*)-SF potentials (V(p(l)*)-SFPs), V(alpha*)-modified SFPs (V(alpha*)-MSFPs), F(p(l)*)-SF forces (F(p(l)*)-SFFs) and F(alpha*)-modified SFFs (F(alpha*)-MSFFs) are investigated, where p(l)*=2l+2-alpha* and alpha* is the integer (alpha*=alpha, -infinity