Polynomial solutions of the Mie-type potential in the D-dimensional Schrodinger equation

IKHDAİR S., Sever R.

JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, cilt.855, ss.13-17, 2008 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 855
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.theochem.2007.12.044
  • Dergi Adı: JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.13-17
  • Anahtar Kelimeler: Mie potential, Coulomb potential, Schrodinger equation, bound states, diatomic molecules, QUANTUM-MECHANICAL OSCILLATOR, ORBITAL ANGULAR MOMENTUM, LARGE-N-EXPANSION, B-C MESON, EFFECTIVE-MASS, BOUND-STATES, SUPERSYMMETRIC APPROACH, PERTURBATIVE TREATMENT, DECAY CONSTANT, SYSTEMS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The polynomial solution of the D-dimensional Schrodinger equation for a special case of Mie potential is obtained with an arbitrary l not equal 0 states. The exact bound state energies and their corresponding wave functions are calculated. The bound state (real) and positive (imaginary) cases are also investigated. In addition, we have simply obtained the results from the solution of the Coulomb potential by an appropriate transformation. (C) 2008 Elsevier B.V. All rights reserved.