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http://dx.doi.org/10.4134/CKMS.2005.20.4.751

A FAMILY OF QUANTUM MARKOV SEMIGROUPS  

Ahn, Sung-Ki (Department of Mathematics Faculty of Naval Academy University)
Ko, Chul-Ki (Natural Science Research Institute Yonsei University)
Pyung, In-Soo (Department of Mathematics Faculty of Naval Academy)
Publication Information
Communications of the Korean Mathematical Society / v.20, no.4, 2005 , pp. 751-763 More about this Journal
Abstract
For a given gauge invariant state $\omega$ on the CAR algebra A isomorphic with the C$\ast$ -algebra of $2{\times}2$ complex matrices, we construct a family of quantum Markov semigroups on A which leave w invariant. By analyzing their generators, we decompose the algebra A into four eigenspaces of the semigroups and show some properties.
Keywords
quantum Markov semigroups; quasi-free states; CAR algebras;
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Times Cited By KSCI : 1  (Citation Analysis)
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