The damped harmonic oscillator in deformation quantization

Details The damped harmonic oscillator in deformation quantization The damped harmonic oscillator in deformation quantization

2005-10-19

arxiv.org/abs/quant-ph/0510150v1

Phys.Lett. A352 (2006) 309-316

Physics

Quantum Physics

Plain LaTex file, 11 pages

Scientific paper

10.1016/j.physleta.2005.12.013

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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