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, cilt.91, ss.371-376, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 91 Konu: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s12648-016-0947-1
  • Dergi Adı: INDIAN JOURNAL OF PHYSICS
  • Sayfa Sayıları: ss.371-376

Özet

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