Deformation Quantization of a Certain Type of Open Systems

Details Deformation Quantization of a Certain Type of Open Systems Deformation Quantization of a Certain Type of Open Systems

2009-08-12

arxiv.org/abs/0908.1647v2

Physics

Mathematical Physics

Major update. Improved main statements. 21 pages

Scientific paper

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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