Matching Weak Coupling and Quasiclassical Expansions For Dual QES Problems

Details Matching Weak Coupling and Quasiclassical Expansions For Dual QES Problems Matching Weak Coupling and Quasiclassical Expansions For Dual QES Problems

2002-04-08

arxiv.org/abs/quant-ph/0204035v2

Int.J.Mod.Phys. A17 (2002) 4661-4668

Physics

Quantum Physics

8 pages, 2 figures; typos corrected

Scientific paper

10.1142/S0217751X02010777

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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