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


DURMUŞ A. , Ozfidan A.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.55, 2014 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 55 Konu: 10
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1063/1.4899084
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS

Özet

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 eigen-functions. 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. (C) 2014 AIP Publishing LLC.