Semiclassical Analysis of Quasi-Exact Solvability

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, ReVTeX

Scientific paper

10.1103/PhysRevA.55.2625

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.

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