• 대한수학회논문집
• /
• 제6권2호
• /
• pp.283-297
• /
• 1991

• 대한수학회논문집
• /
• 제20권4호
• /
• pp.751-763
• /
• 2005

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.