dorsal/arxiv
View SchemaDissipation, Emergent Quantization and Quantum Fluctuations
| Authors | M. Blasone, P. Jizba, G. Vitiello |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301031 |
| URL | https://arxiv.org/abs/quant-ph/0301031 |
| DOI | 10.1007/978-3-540-40968-7_12 |
Abstract
We review some aspects of the quantization of the damped harmonic oscillator. We derive the exact action for a damped mechanical system in the frame of the path integral formulation of the quantum Brownian motion problem developed by Schwinger and by Feynman and Vernon. The doubling of the phase-space degrees of freedom for dissipative systems and thermal field theories is discussed and the doubled variables are related to quantum noise effects. The 't Hooft proposal, according to which the loss of information due to dissipation in a classical deterministic system manifests itself in the quantum features of the system, is analyzed and the quantum spectrum of the harmonic oscillator is shown to be originated from the dissipative character of the original classical deterministic system.
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"date_created": "2026-03-02T18:01:56.202000Z",
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"abstract": "We review some aspects of the quantization of the damped harmonic oscillator.\nWe derive the exact action for a damped mechanical system in the frame of the\npath integral formulation of the quantum Brownian motion problem developed by\nSchwinger and by Feynman and Vernon. The doubling of the phase-space degrees of\nfreedom for dissipative systems and thermal field theories is discussed and the\ndoubled variables are related to quantum noise effects. The \u0027t Hooft proposal,\naccording to which the loss of information due to dissipation in a classical\ndeterministic system manifests itself in the quantum features of the system, is\nanalyzed and the quantum spectrum of the harmonic oscillator is shown to be\noriginated from the dissipative character of the original classical\ndeterministic system.",
"arxiv_id": "quant-ph/0301031",
"authors": [
"M. Blasone",
"P. Jizba",
"G. Vitiello"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/978-3-540-40968-7_12",
"title": "Dissipation, Emergent Quantization and Quantum Fluctuations",
"url": "https://arxiv.org/abs/quant-ph/0301031"
},
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