Generators of KMS Symmetric Markov Semigroups on B(h) Symmetry and Quantum Detailed Balance

被引：0
|
作者：
Fagnola, Franco [1 ]
Umanita, Veronica [2 ]
机构：
[1] Politecn Milan, Dept Math, I-20133 Milan, Italy
[2] Univ Genoa, Dept Math, I-16146 Genoa, Italy
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 298卷 / 02期
关键词：
VON-NEUMANN-ALGEBRAS; DYNAMICAL SEMIGROUPS; DIRICHLET FORMS; STANDARD FORMS; SYSTEMS;
D O I：
10.1007/s00220-010-1011-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We find the structure of generators of norm-continuous quantum Markov semigroups on B(h) that are symmetric with respect to the scalar product tr (rho(1/2)x*rho(1/2)y) induced by a faithful normal invariant state rho and satisfy two quantum generalisations of the classical detailed balance condition related with this non-commutative notion of symmetry: the so-called standard detailed balance condition and the standard detailed balance condition with an antiunitary time reversal.
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页码：523 / 547
页数：25
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