dorsal/arxiv
View SchemaThe damped harmonic oscillator in deformation quantization
| Authors | Giuseppe Dito, Francisco Turrubiates |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510150 |
| URL | https://arxiv.org/abs/quant-ph/0510150 |
| DOI | 10.1016/j.physleta.2005.12.013 |
| Journal | Phys.Lett. A352 (2006) 309-316 |
Abstract
We propose a new approach to the quantization of the damped harmonic oscillator in the framework of deformation quantization. The quantization is performed in the Schr\"{o}dinger picture by a star-product induced by a modified "Poisson bracket". We determine the eigenstates in the damped regime and compute the transition probability between states of the undamped harmonic oscillator after the system was submitted to dissipation.
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"abstract": "We propose a new approach to the quantization of the damped harmonic\noscillator in the framework of deformation quantization. The quantization is\nperformed in the Schr\\\"{o}dinger picture by a star-product induced by a\nmodified \"Poisson bracket\". We determine the eigenstates in the damped regime\nand compute the transition probability between states of the undamped harmonic\noscillator after the system was submitted to dissipation.",
"arxiv_id": "quant-ph/0510150",
"authors": [
"Giuseppe Dito",
"Francisco Turrubiates"
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"doi": "10.1016/j.physleta.2005.12.013",
"journal_ref": "Phys.Lett. A352 (2006) 309-316",
"title": "The damped harmonic oscillator in deformation quantization",
"url": "https://arxiv.org/abs/quant-ph/0510150"
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