dorsal/arxiv
View SchemaFunctional relations in Stokes multipliers - Fun with $x^6 + \alpha x^2$ potential-
| Authors | J. Suzuki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003066 |
| URL | https://arxiv.org/abs/quant-ph/0003066 |
| DOI | 10.1023/A:1004823608260 |
| Journal | J.Statist.Phys. 102 (2001) 1029-1047 |
Abstract
We consider eigenvalue problems in quantum mechanics in one dimension. Hamiltonians contain a class of double well potential terms, x^6 + \alpha x^2, for example . The space coordinate is continued to a complex plane and the connection problem of fundamental system of solutions is considered. A hidden U_q(\hat{gl}(2|1)) structure arises in "fusion relations" of Stokes multipliers. With this observation, we derive coupled nonlinear integral equations which characterize the spectral properties of both \pm \alpha potentials simultaneously. equations.
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"abstract": "We consider eigenvalue problems in quantum mechanics in one dimension.\nHamiltonians contain a class of double well potential terms, x^6 + \\alpha x^2,\nfor example . The space coordinate is continued to a complex plane and the\nconnection problem of fundamental system of solutions is considered. A hidden\nU_q(\\hat{gl}(2|1)) structure arises in \"fusion relations\" of Stokes\nmultipliers. With this observation, we derive coupled nonlinear integral\nequations which characterize the spectral properties of both \\pm \\alpha\npotentials simultaneously. equations.",
"arxiv_id": "quant-ph/0003066",
"authors": [
"J. Suzuki"
],
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"quant-ph",
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"doi": "10.1023/A:1004823608260",
"journal_ref": "J.Statist.Phys. 102 (2001) 1029-1047",
"title": "Functional relations in Stokes multipliers - Fun with $x^6 + \\alpha x^2$ potential-",
"url": "https://arxiv.org/abs/quant-ph/0003066"
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