dorsal/arxiv
View SchemaQuasiclassical Limit in q-Deformed Systems, Noncommutativity and the q-Path Integral
| Authors | M. Chaichian, A. Demichev, P. P. Kulish |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9702023 |
| URL | https://arxiv.org/abs/q-alg/9702023 |
| DOI | 10.1016/S0375-9601(97)00513-6 |
Abstract
Different analogs of quasiclassical limit for a q-oscillator which result in different (commutative and non-commutative) algebras of ``classical'' observables are derived. In particular, this gives the q-deformed Poisson brackets in terms of variables on the quantum planes. We consider the Hamiltonian made of special combination of operators (the analog of even operators in Grassmann algebra) and discuss q-path integrals constructed with the help of contracted ``classical'' algebras.
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"abstract": "Different analogs of quasiclassical limit for a q-oscillator which result in\ndifferent (commutative and non-commutative) algebras of ``classical\u0027\u0027\nobservables are derived. In particular, this gives the q-deformed Poisson\nbrackets in terms of variables on the quantum planes. We consider the\nHamiltonian made of special combination of operators (the analog of even\noperators in Grassmann algebra) and discuss q-path integrals constructed with\nthe help of contracted ``classical\u0027\u0027 algebras.",
"arxiv_id": "q-alg/9702023",
"authors": [
"M. Chaichian",
"A. Demichev",
"P. P. Kulish"
],
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"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1016/S0375-9601(97)00513-6",
"title": "Quasiclassical Limit in q-Deformed Systems, Noncommutativity and the q-Path Integral",
"url": "https://arxiv.org/abs/q-alg/9702023"
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