EXACTLY SOLVABLE EFFECTIVE MASS D-DIMENSIONAL SCHRODINGER EQUATION FOR PSEUDOHARMONIC AND MODIFIED KRATZER PROBLEMS

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IKHDAİR S., Sever R.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, cilt.20, sa.3, ss.361-372, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 3
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1142/s0129183109013674
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.361-372
  • Anahtar Kelimeler: Bound states, point canonical transformation method, position dependent mass distribution, pseudoharmonic potential, modified Kratzer-type potential, KLEIN-GORDON EQUATION, B-C MESON, BOUND-STATES, QUANTUM-SYSTEMS, EQUAL SCALAR, EXPANSION, VECTOR, SPECTROSCOPY, POTENTIALS, PARTICLE
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The point canonical transformation (PCT) approach is used to solve the Schrodinger equation for an arbitrary dimension D with a power-law position-dependent effective mass (PDEM) distribution function for the pseudoharmonic and modified Kratzer (Mie-type) diatomic molecular potentials. In mapping the transformed exactly solvable D-dimensional (D >= 2) Schrodinger equation with constant mass into the effective mass equation by using a proper transformation, the exact bound state solutions including the energy eigenvalues and corresponding wave functions are derived. The well-known pseudoharmonic and modified Kratzer exact eigenstates of various dimensionality is manifested.