Deformation Quantization of a Certain Type of Open Systems
Mathematical Physics
2015-05-13 v2 math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.0908.1647,
title = {Deformation Quantization of a Certain Type of Open Systems},
author = {Florian Becher and Nikolai Neumaier and Stefan Waldmann},
journal= {arXiv preprint arXiv:0908.1647},
year = {2015}
}
Comments
Major update. Improved main statements. 21 pages