Semiclassical Analysis of Quasi-Exact Solvability

Abstract

Higher-order WKB methods are used to investigate the border between the solvable and insolvable portions of the spectrum of quasi-exactly solvable quantum-mechanical potentials. The analysis reveals scaling and factorization properties that are central to quasi-exact solvability. These two properties define a new class of semiclassically quasi-exactly solvable potentials.

12 pages, ReVTeX

References in corpus (1)

• Quasi-Exactly Solvable Systems and Orthogonal Polynomials

Cited by in corpus (16)

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