SUPERDERIVATIONS AND SYMMETRICAL MARKOV SEMIGROUPS

被引：12

作者：

DAVIES, EB ^{[1
]}

LINDSAY, JM ^{[1
]}

机构：

[1] DEPT MATH,NOTHINGHAM NG7 2RD,ENGLAND

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 157卷 / 02期

关键词：

D O I：

10.1007/BF02099765

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Unbounded superderivations are used to construct non-commutative elliptic operators on semi-finite von Neumann algebras. The method exploits the interplay between dynamical semigroups and Dirichlet forms. The elliptic operators may be viewed as generators of irreversible dynamics for fermion systems with infinite degrees of freedom.

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收藏

页码：359 / 370

页数：12

相关论文

共 19 条

[1] DIRICHLET FORMS AND MARKOV SEMIGROUPS ON C-STAR-ALGEBRAS [J].

ALBEVERIO, S ;

HOEGHKROHN, R .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1977, 56 (02) :173-187

[2] FERMION ITO FORMULA AND STOCHASTIC EVOLUTIONS [J].

APPLEBAUM, DB ;

HUDSON, RL .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 96 (04) :473-496

[3] AN INEQUALITY FOR HILBERT-SCHMIDT NORM [J].

ARAKI, H ;

YAMAGAMI, S .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 81 (01) :89-96

[4] NONCOMMUTATIVE SYMMETRICAL MARKOV SEMIGROUPS [J].

DAVIES, EB ;

LINDSAY, JM .

MATHEMATISCHE ZEITSCHRIFT, 1992, 210 (03) :379-411

[5] IRREVERSIBLE DYNAMICS OF INFINITE FERMION SYSTEMS [J].

DAVIES, EB .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1977, 55 (03) :231-258

[6] 1ST AND 2ND QUANTIZED NEUTRON DIFFUSION EQUATIONS [J].

DAVIES, EB .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1977, 52 (02) :111-126

[7]

DIXMIER J, 1981, VONNEUMANN ALGEBRAS

[8] QUANTUM DYNAMICAL SEMIGROUPS, SYMMETRY GROUPS, AND LOCALITY [J].

EVANS, DE .

ACTA APPLICANDAE MATHEMATICAE, 1984, 2 (3-4) :333-352

[9] EXISTENCE OF QUANTUM DIFFUSIONS [J].

EVANS, MP .

PROBABILITY THEORY AND RELATED FIELDS, 1989, 81 (04) :473-483

[10]

FUKUSHIMA M., 1980, N HOLLAND MATH LIB, V23