Non-central potentials, exact solutions and Laplace transform approach

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Arda A., Sever R.

JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.50, sa.6, ss.1484-1494, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 6
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s10910-012-9984-y
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1484-1494
  • Anahtar Kelimeler: Exact solution, Laplace transform, Non-central potential, Schrodinger equation, SCHRODINGER-EQUATION, BOUND-STATES, OSCILLATOR
  • Hacettepe Üniversitesi Adresli: Evet

Özet

Exact bound state solutions and the corresponding wave functions of the Schrodinger equation for some non-central potentials including Makarov potential, modified-Kratzer plus a ring-shaped potential, double ring-shaped Kratzer potential, modified non-central potential and ring-shaped non-spherical oscillator potential are obtained by using the Laplace transform approach. The energy spectrums of the Hartmann potential, modified-Kratzer potential and ring-shaped oscillator potential are also briefly studied as special cases. It is seen that our analytical results for all these potentials are consistent with those obtained by other works. We also give some numerical results obtained for the modified non-central potential for different values of the related quantum numbers.