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Becher, Florian; Neumaier, Nikolai; Waldmann, Stefan

Deformation quantization of a certain type of open systems. (English) Zbl 1193.53181

Lett. Math. Phys. 92, No. 2, 155-180 (2010).
Author’s abstract: We give an approach to open quantum systems based on formal deformation quantization. It is shown that classical open systems of a certain type can be systematically quantized into quantum open systems preserving the complete positivity of the open time evolution. The usual example of linearly coupled harmonic oscillators is discussed.
Reviewer: Benjamin Cahen (Metz)

Cited in 2 Documents

MSC:

53D55 Deformation quantization, star products
81S22 Open systems, reduced dynamics, master equations, decoherence

Keywords:

deformation quantization; open systems; completely positive maps
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\textit{F. Becher} et al., Lett. Math. Phys. 92, No. 2, 155--180 (2010; Zbl 1193.53181)
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