dorsal/arxiv
View SchemaQuantum Systems and Alternative Unitary Descriptions
| Authors | G. Marmo, A. Simoni, F. Ventriglia |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312033 |
| URL | https://arxiv.org/abs/quant-ph/0312033 |
| DOI | 10.1142/S0217751X04018385 |
Abstract
Motivated by the existence of bi-Hamiltonian classical systems and the correspondence principle, in this paper we analyze the problem of finding Hermitian scalar products which turn a given flow on a Hilbert space into a unitary one. We show how different invariant Hermitian scalar products give rise to different descriptions of a quantum system in the Ehrenfest and Heisenberg picture.
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"abstract": "Motivated by the existence of bi-Hamiltonian classical systems and the\ncorrespondence principle, in this paper we analyze the problem of finding\n Hermitian scalar products which turn a given flow on a Hilbert space into a\nunitary one. We show how different invariant Hermitian scalar products give\nrise to different descriptions of a quantum system in the Ehrenfest and\n Heisenberg picture.",
"arxiv_id": "quant-ph/0312033",
"authors": [
"G. Marmo",
"A. Simoni",
"F. Ventriglia"
],
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"quant-ph"
],
"doi": "10.1142/S0217751X04018385",
"title": "Quantum Systems and Alternative Unitary Descriptions",
"url": "https://arxiv.org/abs/quant-ph/0312033"
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