dorsal/arxiv
View SchemaMatching Weak Coupling and Quasiclassical Expansions For Dual QES Problems
| Authors | Michael Kavic |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204035 |
| URL | https://arxiv.org/abs/quant-ph/0204035 |
| DOI | 10.1142/S0217751X02010777 |
| Journal | Int.J.Mod.Phys. A17 (2002) 4661-4668 |
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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"abstract": "Certain quasi-exactly solvable systems exhibit an energy reflection property\nthat relates the energy levels of a potential or of a pair of potentials. We\ninvestigate two sister potentials and show the existence of this energy\nreflection relationship between the two potentials. We establish a relationship\nbetween the lowest energy edge in the first potential using the weak coupling\nexpansion and the highest energy level in the sister potential using a WKB\napproximation carried out to higher order.",
"arxiv_id": "quant-ph/0204035",
"authors": [
"Michael Kavic"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1142/S0217751X02010777",
"journal_ref": "Int.J.Mod.Phys. A17 (2002) 4661-4668",
"title": "Matching Weak Coupling and Quasiclassical Expansions For Dual QES Problems",
"url": "https://arxiv.org/abs/quant-ph/0204035"
},
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