dorsal/arxiv
View SchemaQuantum mechanics as kinetics
| Authors | L. V. Prokhorov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406079 |
| URL | https://arxiv.org/abs/quant-ph/0406079 |
Abstract
Relations between Hamiltonian mechanics and quantum mechanics are studied. It is stressed that classical mechanics possesses all the specific features of quantum theory: operators, complex variables, probabilities (in case of ergodic systems). The Planck constant and the Fock space appear after putting a dynamical system in a thermal bath. For harmonic oscillator in a thermal bath, the probability amplitudes can be identified with the complex valued phase functions $f(q+ip)$ describing small deviations from the equilibrium state, when the time of relaxation is large. A chain of such oscillators models both the one-dimensional space (or string), and one-dimensional quantum field theory.
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"abstract": "Relations between Hamiltonian mechanics and quantum mechanics are studied. It\nis stressed that classical mechanics possesses all the specific features of\nquantum theory: operators, complex variables, probabilities (in case of ergodic\nsystems). The Planck constant and the Fock space appear after putting a\ndynamical system in a thermal bath. For harmonic oscillator in a thermal bath,\nthe probability amplitudes can be identified with the complex valued phase\nfunctions $f(q+ip)$ describing small deviations from the equilibrium state,\nwhen the time of relaxation is large. A chain of such oscillators models both\nthe one-dimensional space (or string), and one-dimensional quantum field\ntheory.",
"arxiv_id": "quant-ph/0406079",
"authors": [
"L. V. Prokhorov"
],
"categories": [
"quant-ph"
],
"title": "Quantum mechanics as kinetics",
"url": "https://arxiv.org/abs/quant-ph/0406079"
},
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