Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2005.10.01
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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.

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References

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