A General Approach for the Exact Solution of the Schrodinger Equation

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TEZCAN C., Sever R.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.48, sa.2, ss.337-350, 2009 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1007/s10773-008-9806-y
  • Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.337-350
  • Anahtar Kelimeler: Generalized Morse potential, Rosen-Morse potential, Pseudoharmonic potential, Mie potential, Woods-Saxon potential, Kratzer-Fues potential, Non-central potential, HAMILTONIAN HIERARCHY METHOD, LARGE-N-EXPANSION, BETHE-SALPETER-EQUATION, EXACT QUANTIZATION RULE, NIKIFOROV-UVAROV METHOD, PATH-INTEGRAL SOLUTION, B-C MESON, NONCENTRAL POTENTIALS, 1/N EXPANSION, SUPERSYMMETRIC SOLUTIONS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The Schrodinger equation is solved exactly for some well known potentials. Solutions are obtained reducing the Schrodinger equation into a second order differential equation by using an appropriate coordinate transformation. The Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the corresponding wave functions.