Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-09-20
Nuclear Physics B (Proc. Suppl.) 129&130 (2004) 892-894
Physics
High Energy Physics
High Energy Physics - Lattice
Lattice2003(theory)
Scientific paper
10.1016/S0920-5632(03)02745-2
We develop a systematic description of Weyl and Fano operators on a lattice phase space. Introducing the so-called ghost variable even on an odd lattice, odd and even lattices can be treated in a symmetric way. The Wigner function is defined using these operators on the quantum phase space, which can be interpreted as a spin phase space. If we extend the space with a dichotomic variable, a positive distribution function can be defined on the new space. It is shown that there exits a quantum Markov process on the extended space which describes the time evolution of the distribution function.
Hashimoto Tsutomu
Hayashi Akihisa
Horibe Minoru
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