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Quantization of the damped harmonic oscillator revisited. (English) Zbl 1242.81102

Summary: We return to the description of the damped harmonic oscillator with an assessment of previous works, in particular the Bateman-Caldirola-Kanai model and a new model proposed by one of the authors. We argue the latter has better high energy behavior and is connected to existing open-systems approaches.

MSC:

81S05 Commutation relations and statistics as related to quantum mechanics (general)
81Q35 Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices
81R30 Coherent states
81V22 Unified quantum theories
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