DILATION OF ARBITRARY SYMMETRIC QUANTUM DYNAMICAL SEMIGROUPS ON B(H)

被引：1

作者：

Das, Biswarup ^{[1
]}

机构：

[1] Indian Stat Inst, Kolkata, India

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2012年 / 15卷 / 03期

关键词：

Quantum stochastics; quantum dynamical semigroups; dilation; OPERATOR-ALGEBRAS;

D O I：

10.1142/S0219025712500178

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of Hudson-Parthasarathy dilation of a quantum dynamical semigroup on B(H), which is symmetric with respect to the canonical normal trace on it.

引用

页数：11

共 16 条

[1] On the structure of Markov flows [J].

Accardi, L ;

Kozyrev, SV .

CHAOS SOLITONS & FRACTALS, 2001, 12 (14-15) :2639-2655

[2]

Accardi L., 1982, Publ. Res. Inst. Math. Sci, V18, P97, DOI [10.2977/prims/1195184017, DOI 10.2977/PRIMS/1195184017]

[3]

[Anonymous], 2007, Cambridge Tracts in Mathematics

[4]

[Anonymous], 1992, MONOGRAPHS MATH

[5]

Bratteli Ola, 1987, OPERATOR ALGEBRAS QU, V1, DOI DOI 10.1007/978-3-662-02520-8

[6] Sufficient conditions for conservativity of minimal quantum dynamical semigroups [J].

Chebotarev, AM ;

Fagnola, F .

JOURNAL OF FUNCTIONAL ANALYSIS, 1998, 153 (02) :382-404

[7] CO-HOMOLOGY OF OPERATOR-ALGEBRAS AND QUANTUM DYNAMICAL SEMIGROUPS [J].

CHRISTENSEN, E ;

EVANS, DE .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1979, 20 (OCT) :358-368

[8] Derivations as square roots of Dirichlet forms [J].

Cipriani, F ;

Sauvageot, JL .

JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 201 (01) :78-120

[9]

EVANS DE, 1977, COMM DUBLIN I ADV A

[10] Solving quantum stochastic differential equations with unbounded coefficients [J].

Fagnola, F ;

Wills, SJ .

JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 198 (02) :279-310

← 1 2 →