Exact solutions of the radial Schrodinger equation for some physical potentials

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IKHDAİR S., Sever R.

CENTRAL EUROPEAN JOURNAL OF PHYSICS, cilt.5, sa.4, ss.516-527, 2007 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 4
  • Basım Tarihi: 2007
  • Doi Numarası: 10.2478/s11534-007-0022-9
  • Dergi Adı: CENTRAL EUROPEAN JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.516-527
  • Anahtar Kelimeler: wavefunction ansatz, pseudoharmonic potential, Kratzer's potential, bound-states, eigenvalues and eigenfunctions, EXACT QUANTIZATION RULE, LARGE-N EXPANSIONS, B-C, RELATIVISTIC KINEMATICS, PERTURBATIVE TREATMENT, SOLVABLE POTENTIALS, DIATOMIC-MOLECULES, QUANTUM-MECHANICS, STATE SOLUTIONS, BOUND-STATES
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrodinger equation for the pseudoharmonic and the Kratzer potentials in two dimensions. The bound-state solutions are easily calculated from this eigenfunction ansatz. The corresponding normalized wavefunctions are also obtained. (C) Versita Warsaw and Springer-Verlag Berlin Heidelberg. All rights reserved.