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Pré-Publication, Document De Travail Année : 2005

The damped harmonic oscillator in deformation quantization

Résumé

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 Schrödinger 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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Dates et versions

hal-00012298 , version 1 (19-10-2005)

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Giuseppe Dito, Francisco Turrubiates. The damped harmonic oscillator in deformation quantization. 2005. ⟨hal-00012298⟩
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