dorsal/arxiv
View SchemaQuantization of noncommutative completely integrable Hamiltonian systems
| Authors | G. Giachetta, L. Mangiarotti, G. Sardanashvily |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604151 |
| URL | https://arxiv.org/abs/quant-ph/0604151 |
| DOI | 10.1016/j.physleta.2006.10.011 |
| Journal | Physics Letters A, v.362 (2007) 138-142 |
Abstract
Integrals of motion of a Hamiltonian system need not be commutative. The classical Mishchenko-Fomenko theorem enables one to quantize a noncommutative completely integrable Hamiltonian system around its invariant submanifold as an abelian completely integrable Hamiltonian system.
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"abstract": "Integrals of motion of a Hamiltonian system need not be commutative. The\nclassical Mishchenko-Fomenko theorem enables one to quantize a noncommutative\ncompletely integrable Hamiltonian system around its invariant submanifold as an\nabelian completely integrable Hamiltonian system.",
"arxiv_id": "quant-ph/0604151",
"authors": [
"G. Giachetta",
"L. Mangiarotti",
"G. Sardanashvily"
],
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"doi": "10.1016/j.physleta.2006.10.011",
"journal_ref": "Physics Letters A, v.362 (2007) 138-142",
"title": "Quantization of noncommutative completely integrable Hamiltonian systems",
"url": "https://arxiv.org/abs/quant-ph/0604151"
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