Approximate solutions of Schrodinger equation for Eckart potential with centrifugal term

Taskin F., Koçak G.

CHINESE PHYSICS B, cilt.19, sa.9, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 9
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1088/1674-1056/19/9/090314
  • Dergi Adı: CHINESE PHYSICS B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Schrodinger equation, Eckart potential, bound state, BOUND-STATES, DIRAC-EQUATION, VECTOR, SPIN
  • Erciyes Üniversitesi Adresli: Evet

Özet

The approximate analytical solutions of the Schrodinger equation for the Eckart potential are presented for the arbitrary angular momentum by using a new approximation of the centrifugal term. The energy eigenvalues and the corresponding wavefunctions are obtained for different values of screening parameter. The numerical examples are presented and the results are in good agreement with the values in the literature. Three special cases, i.e., s-wave, = xi = lambda, and beta = 0, are investigated.