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Matching Weak Coupling and Quasiclassical Expansions For Dual QES Problems

Michael Kavic
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Abstract

Certain quasi-exactly solvable systems exhibit an energy reflection property that relates the energy levels of a potential or of a pair of potentials. We investigate two sister potentials and show the existence of this energy reflection relationship between the two potentials. We establish a relationship between the lowest energy edge in the first potential using the weak coupling expansion and the highest energy level in the sister potential using a WKB approximation carried out to higher order.

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Michael Kavic. 2002-04-09. Matching Weak Coupling and Quasiclassical Expansions For Dual QES Problems. https://doi.org/10.1142/s0217751x02010777

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