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

Journal Article · Wed Oct 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4899084· OSTI ID:22305858

Durmus, Aysen ^[1]; Özfidan, Aysel ^[2]

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1. Department of Physics, Erciyes University, Kayseri 38039 (Turkey)
2. Institute of Science, Erciyes University, Kayseri 38039 (Turkey)

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.

• OSTI ID: 22305858
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 10; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
ANGULAR MOMENTUM
CENTRAL POTENTIAL
CURVILINEAR COORDINATES
EIGENFUNCTIONS
EIGENVALUES
HYPERGEOMETRIC FUNCTIONS
POLYNOMIALS
WAVE EQUATIONS