dorsal/arxiv
View SchemaOn the Path Integral Treatment for an Aharonov-Bohm Field on the Hyperbolic Plane
| Authors | Christian Grosche |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9808060 |
| URL | https://arxiv.org/abs/quant-ph/9808060 |
| Journal | Int.J.Theor.Phys. 38 (1999) 955-969 |
Abstract
In this paper I discuss by means of path integrals the quantum dynamics of a charged particle on the hyperbolic plane under the influence of an Aharonov-Bohm gauge field. The path integral can be solved in terms of an expansion of the homotopy classes of paths. I discuss the interference pattern of scattering by an Aharonov-Bohm gauge field in the flat space limit, yielding a characteristic oscillating behavior in terms of the field strength. In addition, the cases of the isotropic Higgs-oscillator and the Kepler-Coulomb potential on the hyperbolic plane are shortly sketched.
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"abstract": "In this paper I discuss by means of path integrals the quantum dynamics of a\ncharged particle on the hyperbolic plane under the influence of an\nAharonov-Bohm gauge field. The path integral can be solved in terms of an\nexpansion of the homotopy classes of paths. I discuss the interference pattern\nof scattering by an Aharonov-Bohm gauge field in the flat space limit, yielding\na characteristic oscillating behavior in terms of the field strength. In\naddition, the cases of the isotropic Higgs-oscillator and the Kepler-Coulomb\npotential on the hyperbolic plane are shortly sketched.",
"arxiv_id": "quant-ph/9808060",
"authors": [
"Christian Grosche"
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],
"journal_ref": "Int.J.Theor.Phys. 38 (1999) 955-969",
"title": "On the Path Integral Treatment for an Aharonov-Bohm Field on the Hyperbolic Plane",
"url": "https://arxiv.org/abs/quant-ph/9808060"
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