New classes of quasi-solvable potentials, their exactly solvable limit, and related orthogonal polynomials
نویسندگان
چکیده
منابع مشابه
Quasi-Exactly Solvable Systems and Orthogonal Polynomials
This paper shows that there is a correspondence between quasi-exactly solvable models in quantum mechanics and sets of orthogonal polynomials {Pn}. The quantum-mechanical wave function is the generating function for the Pn(E), which are polynomials in the energy E. The condition of quasi-exact solvability is reflected in the vanishing of the norm of all polynomials whose index n exceeds a criti...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2002
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1509852