Analytical solution of the Schrodinger equation for Makarov potential with any l angular momentum

Bayrak O., Karakoc M., Boztosun I., Sever R.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.47, sa.11, ss.3005-3014, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 11
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s10773-008-9735-9
  • Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3005-3014
  • Anahtar Kelimeler: non-central potential, analytical solution, ring shaped Hartmann potential, ASYMPTOTIC ITERATION METHOD, PATH-INTEGRAL SOLUTION, NIKIFOROV-UVAROV METHOD, EIGENVALUE PROBLEMS, RING, MOTION, PLUS, PARTICLE, SCALAR, DIRAC
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We present the analytical solution of the Schrodinger Equation for the Makarov potential within the framework of the asymptotic iteration method for any n and l quantum numbers. Energy eigenvalues and the corresponding wave functions are calculated. We also obtain the same results for the ring shaped Hartmann potential which is the special form of the non-central Makarov potential.