dorsal/arxiv
View SchemaOn Cyclic Harmonic Oscillators
| Authors | Kenichi Konishi, Giampiero Paffuti |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406212 |
| URL | https://arxiv.org/abs/quant-ph/0406212 |
| DOI | 10.1142/S0217751X06032502 |
| Journal | Int.J.Mod.Phys. A21 (2006) 3199-3211 |
Abstract
It is proven that the energy of a quantum mechanical harmonic oscillator with a generically time-dependent but cyclic frequency, $\omega_{0}(t_{0})= \omega_{0}(0)$, cannot decrease on the average if the system is originally in a stationary state, after the system goes through a full cycle. The energy exchange always takes place in the direction from the macroscopic system (environment) to the quantum microscopic system.
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"abstract": "It is proven that the energy of a quantum mechanical harmonic oscillator with\na generically time-dependent but cyclic frequency, $\\omega_{0}(t_{0})=\n\\omega_{0}(0)$, cannot decrease on the average if the system is originally in a\nstationary state, after the system goes through a full cycle. The energy\nexchange always takes place in the direction from the macroscopic system\n(environment) to the quantum microscopic system.",
"arxiv_id": "quant-ph/0406212",
"authors": [
"Kenichi Konishi",
"Giampiero Paffuti"
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"doi": "10.1142/S0217751X06032502",
"journal_ref": "Int.J.Mod.Phys. A21 (2006) 3199-3211",
"title": "On Cyclic Harmonic Oscillators",
"url": "https://arxiv.org/abs/quant-ph/0406212"
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