The damped harmonic oscillator in deformation quantization

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 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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https://hal.archives-ouvertes.fr/hal-00012298
Contributor : Giuseppe Dito <>
Submitted on : Wednesday, October 19, 2005 - 1:55:55 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM
Long-term archiving on : Thursday, April 1, 2010 - 10:49:38 PM

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

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