dorsal/arxiv
View SchemaA Free Particle on a Circle with Point Interaction
| Authors | Tamas Fulop, Izumi Tsutsui |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910062 |
| URL | https://arxiv.org/abs/quant-ph/9910062 |
| DOI | 10.1016/S0375-9601(99)00850-6 |
Abstract
The quantum dynamics of a free particle on a circle with point interaction is described by a U(2) family of self-adjoint Hamiltonians. We provide a classification of the family by introducing a number of subfamilies and thereby analyze the spectral structure in detail. We find that the spectrum depends on a subset of U(2) parameters rather than the entire U(2) needed for the Hamiltonians, and that in particular there exists a subfamily in U(2) where the spectrum becomes parameter-independent. We also show that, in some specific cases, the WKB semiclassical approximation becomes exact (modulo phases) for the system.
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"abstract": "The quantum dynamics of a free particle on a circle with point interaction is\ndescribed by a U(2) family of self-adjoint Hamiltonians. We provide a\nclassification of the family by introducing a number of subfamilies and thereby\nanalyze the spectral structure in detail. We find that the spectrum depends on\na subset of U(2) parameters rather than the entire U(2) needed for the\nHamiltonians, and that in particular there exists a subfamily in U(2) where the\nspectrum becomes parameter-independent. We also show that, in some specific\ncases, the WKB semiclassical approximation becomes exact (modulo phases) for\nthe system.",
"arxiv_id": "quant-ph/9910062",
"authors": [
"Tamas Fulop",
"Izumi Tsutsui"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1016/S0375-9601(99)00850-6",
"title": "A Free Particle on a Circle with Point Interaction",
"url": "https://arxiv.org/abs/quant-ph/9910062"
},
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