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Deformation Quantization of a Certain Type of Open Systems

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.

preprint2009arXivOpen access
Florian BecherNikolai NeumaierStefan Waldmann
math-phmath.MPquant-ph
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Florian BecherNikolai NeumaierStefan Waldmann

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