Exact solution for a noncentral electric dipole ring-shaped potential in the tridiagonal representation

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3578348· OSTI ID:21501302

Guoqing, Huangfu ^[1]; Mincang, Zhang ^[2]

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1. Department of Physics and Electronic Engineering, Weinan Teachers University, Weinan 714000 (China)
2. College of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062 (China)

The Schroedinger equation with noncentral electric dipole ring-shaped potential is investigated by working in a complete square integrable basis that supports an infinite tridiagonal matrix representation of the wave operator. The three-term recursion relations for the expansion coefficients of both the angular and radial wavefunctions are presented. The discrete spectrum for the bound states is obtained by the diagonalization of the radial recursion relation. Some potential applications of this system in different fields are discussed.

• OSTI ID: 21501302
• Journal Information: Journal of Mathematical Physics, Vol. 52, Issue 4; Other Information: DOI: 10.1063/1.3578348; (c) 2011 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ELECTRIC DIPOLES
EXACT SOLUTIONS
INTEGRAL CALCULUS
MATRICES
POTENTIALS
RECURSION RELATIONS
SCHROEDINGER EQUATION
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
DIPOLES
EQUATIONS
FUNCTIONS
MATHEMATICAL SOLUTIONS
MATHEMATICS
MULTIPOLES
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS