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.

引用

页码：523 / 547

页数：25