dorsal/arxiv
View SchemaThe role of self-induced decoherence in the problem of the classical limit of quantum mechanics
| Authors | Mario Castagnino, Manuel Gadella |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306014 |
| URL | https://arxiv.org/abs/quant-ph/0306014 |
Abstract
Our account of the problem of the classical limit of quantum mechanics involves two elements. The first one is self-induced decoherence, conceived as a process that depends on the own dynamics of a closed quantum system governed by a Hamiltonian with continuous spectrum; the study of decoherence is addressed by means of a formalism used to give meaning to the van Hove states with diagonal singularities. The second element is macroscopicity: when the macroscopic limit is applied to the Wigner transformation of the diagonal state resulting from decoherence, the description of the quantum system becomes equivalent to the description of an ensemble of classical trajectories on phase space weighted by their corresponding probabilities.
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"abstract": "Our account of the problem of the classical limit of quantum mechanics\ninvolves two elements. The first one is self-induced decoherence, conceived as\na process that depends on the own dynamics of a closed quantum system governed\nby a Hamiltonian with continuous spectrum; the study of decoherence is\naddressed by means of a formalism used to give meaning to the van Hove states\nwith diagonal singularities. The second element is macroscopicity: when the\nmacroscopic limit is applied to the Wigner transformation of the diagonal state\nresulting from decoherence, the description of the quantum system becomes\nequivalent to the description of an ensemble of classical trajectories on phase\nspace weighted by their corresponding probabilities.",
"arxiv_id": "quant-ph/0306014",
"authors": [
"Mario Castagnino",
"Manuel Gadella"
],
"categories": [
"quant-ph"
],
"title": "The role of self-induced decoherence in the problem of the classical limit of quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0306014"
},
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