dorsal/arxiv
View SchemaGeometric Phases for Three State Systems
| Authors | Mark S. Byrd |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9902061 |
| URL | https://arxiv.org/abs/quant-ph/9902061 |
Abstract
The adiabatic geometric phases for general three state systems are discussed. An explicit parameterization for space of states of these systems is given. The abelian and non-abelian connection one-forms or vector potentials that would appear in a three dimensional quantum system with adiabatic characteristics are given explicitly. This is done in terms of the Euler angle parameterization of SU(3) which enables a straight-forward calculation of these quantities and its immediate generalization.
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"abstract": "The adiabatic geometric phases for general three state systems are discussed.\nAn explicit parameterization for space of states of these systems is given. The\nabelian and non-abelian connection one-forms or vector potentials that would\nappear in a three dimensional quantum system with adiabatic characteristics are\ngiven explicitly. This is done in terms of the Euler angle parameterization of\nSU(3) which enables a straight-forward calculation of these quantities and its\nimmediate generalization.",
"arxiv_id": "quant-ph/9902061",
"authors": [
"Mark S. Byrd"
],
"categories": [
"quant-ph"
],
"title": "Geometric Phases for Three State Systems",
"url": "https://arxiv.org/abs/quant-ph/9902061"
},
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