Analytical solutions of a generalized non-central potential in N-dimensions

DURMUŞ A., Ozfidan A.

Journal of Mathematical Physics, cilt.55, sa.10, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 10
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1063/1.4899084
  • Dergi Adı: Journal of Mathematical Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Erciyes Üniversitesi Adresli: Evet

Özet

© 2014 AIP Publishing LLC.We present that N-dimensional non-relativistic wave equation for the generalized non-central potential with arbitrary angular momentum is analytically solvable in the hyperspherical coordinates. Asymptotic iteration method as a different approach is applied to obtain N-dimensional energy eigenvalues and the corresponding eigenfunctions. In hyperspherical coordinates, the wave function solutions are obtained in terms of hypergeometric functions and Jacobi polynomials. The bound states of quantum systems under consideration for some special cases, such as Hartmann and Makarov potentials, have been discussed in N-dimensions.