Deformation Quantization of a Certain Type of Open Systems
classification
🧮 math-ph
math.MPquant-ph
keywords
opensystemscertaindeformationquantizationquantumtypeapproach
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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.
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