메뉴 건너뛰기




Volumn 8, Issue 5, 1996, Pages 689-713

Quantum stochastic dynamics II

Author keywords

Non commutative double struck L signp spaces; Quantum spins; Stochastic spin flip and diffusion dynamics; Systems on a lattice

Indexed keywords


EID: 0030304703     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X9600024X     Document Type: Article
Times cited : (22)

References (47)
  • 1
    • 34047155260 scopus 로고
    • Topics in quantum probability
    • L. Accardi, "Topics in quantum probability", Phys. Rep. 77 (1981) 169-192.
    • (1981) Phys. Rep. , vol.77 , pp. 169-192
    • Accardi, L.1
  • 2
    • 0001216606 scopus 로고
    • Conditional expectations in von Neumann algebras and a theorem of Takesaki
    • L. Accardi and C. Cecchini, "Conditional expectations in von Neumann algebras and a theorem of Takesaki", J. Func. Anal. 45 (1982) 245-273
    • (1982) J. Func. Anal. , vol.45 , pp. 245-273
    • Accardi, L.1    Cecchini, C.2
  • 3
    • 0002811289 scopus 로고
    • Rapid convergence to equilibrium of stochastic ising models in the Dobrushin-Shlosman régime
    • Percolation Theory and Ergodic Theory of Infinite Particle Systems, ed. Kesten H., Springer-Verlag
    • M. Aizenman and R. Holley, "Rapid convergence to equilibrium of stochastic Ising models in the Dobrushin-Shlosman régime", Percolation Theory and Ergodic Theory of Infinite Particle Systems, ed. Kesten H., IMS Volumes in Math. and Appl. 8, Springer-Verlag, 1987, pp. 1-11.
    • (1987) IMS Volumes in Math. and Appl. , vol.8 , pp. 1-11
    • Aizenman, M.1    Holley, R.2
  • 4
    • 0002599294 scopus 로고
    • Dirichlet forms and Markovian semigroups on C*-algebras
    • S. Albeverio and R. Höegh-Krohn, "Dirichlet forms and Markovian semigroups on C*-algebras", Commun. Math. Phys. 56 (1977) 173-187.
    • (1977) Commun. Math. Phys. , vol.56 , pp. 173-187
    • Albeverio, S.1    Höegh-Krohn, R.2
  • 5
    • 0001069474 scopus 로고
    • Gibbs states of a one dimensional quantum lattice
    • H. Araki, "Gibbs states of a one dimensional quantum lattice", Commun. Math. Phys. 14 (1969) 120-157.
    • (1969) Commun. Math. Phys. , vol.14 , pp. 120-157
    • Araki, H.1
  • 6
    • 85008097854 scopus 로고
    • Relative entropy of states of von Neumann algebras
    • H. Araki, "Relative entropy of states of von Neumann algebras", Publ. R.I.M.S., Kyoto Univ. 11 (1976) 809-833.
    • (1976) Publ. R.I.M.S., Kyoto Univ. , vol.11 , pp. 809-833
    • Araki, H.1
  • 7
    • 0011332318 scopus 로고
    • On the equivalence of KMS and Gibbs conditions for states of quantum lattice systems
    • H. Araki and P. D. F. Ion, "On the equivalence of KMS and Gibbs conditions for states of quantum lattice systems", Commun. Math. Phys. 35 (1974) 1-12.
    • (1974) Commun. Math. Phys. , vol.35 , pp. 1-12
    • Araki, H.1    Ion, P.D.F.2
  • 9
    • 84974487436 scopus 로고
    • Quantum stochastic integration and quantum stochastic differential equations
    • C. Barnett, S. Goldstein and I. Wilde, "Quantum stochastic integration and quantum stochastic differential equations", Math. Proc. Camb. Phil. Soc. 116 (1994) 535-553.
    • (1994) Math. Proc. Camb. Phil. Soc. , vol.116 , pp. 535-553
    • Barnett, C.1    Goldstein, S.2    Wilde, I.3
  • 12
    • 0001380544 scopus 로고
    • Une classification des facteurs de type III
    • e série 6 (1973) 133-252.
    • (1973) e Série , vol.6 , pp. 133-252
    • Connes, A.1
  • 13
    • 0000955791 scopus 로고
    • Sur le théorème de radon-nikodym pour les poids normaux fidèles semi-finis
    • e série 97 (1973) 253-258.
    • (1973) e Série , vol.97 , pp. 253-258
    • Connes, A.1
  • 14
    • 84972556832 scopus 로고
    • Flow of weights on factors of type III
    • A. Connes and M. Takesaki, "Flow of weights on factors of type III", Tôhoku Math. J. 29 (1977) 473-575.
    • (1977) Tôhoku Math. J. , vol.29 , pp. 473-575
    • Connes, A.1    Takesaki, M.2
  • 15
    • 0002197815 scopus 로고
    • Formes linéaires sur un anneau d'opérateurs
    • J. Dixmier, "Formes linéaires sur un anneau d'opérateurs", Bull. Soc. Math. France 81 (1953) 9-39.
    • (1953) Bull. Soc. Math. France , vol.81 , pp. 9-39
    • Dixmier, J.1
  • 16
    • 51249169618 scopus 로고
    • Non commutative symmetric Markov semigroups
    • E. B. Davies and M. Lindsay, "Non commutative symmetric Markov semigroups", Math. Zeit. 210 (1992) 379-411.
    • (1992) Math. Zeit. , vol.210 , pp. 379-411
    • Davies, E.B.1    Lindsay, M.2
  • 17
    • 0000230165 scopus 로고
    • Remarks on two theorems of e. Lieb
    • H. Epstein, "Remarks on two theorems of E. Lieb", Commun. Math. Phys. 31 (1973) 317-325.
    • (1973) Commun. Math. Phys. , vol.31 , pp. 317-325
    • Epstein, H.1
  • 18
    • 0011319175 scopus 로고
    • Constructing quantum dissipations and their reversible states from classical interacting spin systems
    • D. Goderis and C. Maes, "Constructing quantum dissipations and their reversible states from classical interacting spin systems", Ann. Inst. H. Poincare 55 (1991) 805-828.
    • (1991) Ann. Inst. H. Poincare , vol.55 , pp. 805-828
    • Goderis, D.1    Maes, C.2
  • 19
    • 0002274817 scopus 로고
    • p-spaces associated with an arbitrary von Neumann algebra
    • Colloques internationaux du CNRS, Marseille 20-24 juin Éditions du CNRS, Paris
    • p-spaces associated with an arbitrary von Neumann algebra", Algèbres d'opérateurs et leurs applications en physique mathématique, Colloques internationaux du CNRS, No. 274, Marseille 20-24 juin 1977, Éditions du CNRS, Paris 1979, pp. 175-184.
    • (1977) Algèbres d'Opérateurs et Leurs Applications en Physique Mathématique , vol.274 , pp. 175-184
    • Haagerup, U.1
  • 20
    • 0011366083 scopus 로고
    • Generalized conditional expectations and martingales in noncommutative double-struck L sign-spaces
    • F. Hiai and M. Tsukada, "Generalized conditional expectations and Martingales in noncommutative double-struck L sign-spaces", J. Operater Theory 18, no.2 (1987) 265-288.
    • (1987) J. Operater Theory , vol.18 , Issue.2 , pp. 265-288
    • Hiai, F.1    Tsukada, M.2
  • 21
    • 0001558092 scopus 로고
    • p d'une algèbre de von Neumann définies par la dérivée spatiale
    • p d'une algèbre de von Neumann définies par la dérivée spatiale", J. Func. Anal. 40 (1981) 151-169.
    • (1981) J. Func. Anal. , vol.40 , pp. 151-169
    • Hilsum, M.1
  • 23
    • 0000912841 scopus 로고
    • p fourier transforms on locally compact unimodular groups
    • p Fourier transforms on locally compact unimodular groups", Trans. Amer. Math. Soc. 89 (1958) 519-540.
    • (1958) Trans. Amer. Math. Soc. , vol.89 , pp. 519-540
    • Kunze, R.A.1
  • 24
    • 36649022319 scopus 로고
    • Convex trace functions and the Wigner-Yanase-Dyson conjecture
    • E. H. Lieb, "Convex trace functions and the Wigner-Yanase-Dyson conjecture", Adv. in Math. 11 (1973) 267-288.
    • (1973) Adv. in Math. , vol.11 , pp. 267-288
    • Lieb, E.H.1
  • 25
    • 0011320769 scopus 로고
    • The finite group velocity of quantum spin systems
    • E. H. Lieb and D. W. Robinson, "The finite group velocity of quantum spin systems", Commun. Math. Phys. 28 (1972) 251-257.
    • (1972) Commun. Math. Phys. , vol.28 , pp. 251-257
    • Lieb, E.H.1    Robinson, D.W.2
  • 28
    • 0003300735 scopus 로고
    • Quantum stochastic dynamics I: Spin systems on a lattice
    • Paper 2
    • A. W. Majewski and B. Zegarlinski, "Quantum stochastic dynamics I: Spin systems on a lattice", MPEJ 1 (1995) Paper 2.
    • (1995) MPEJ , vol.1
    • Majewski, A.W.1    Zegarlinski, B.2
  • 29
    • 0011334464 scopus 로고
    • Uniqueness of the translationally invariant ground state in quantum spin systems
    • T. Matsui, "Uniqueness of the translationally invariant ground state in quantum spin systems", Commun. Math. Phys. 126 (1990) 453-467.
    • (1990) Commun. Math. Phys. , vol.126 , pp. 453-467
    • Matsui, T.1
  • 30
    • 0001406791 scopus 로고
    • Markov semigroups on UHF algebras
    • T. Matsui, "Markov semigroups on UHF algebras", Rev. Mod. Phys. 5 (1993) 587-600.
    • (1993) Rev. Mod. Phys. , vol.5 , pp. 587-600
    • Matsui, T.1
  • 31
    • 21344498681 scopus 로고
    • Purification and uniqueness of quantum gibbs states
    • T. Matsui, "Purification and uniqueness of quantum gibbs states", Commun. Math. Phys. 162 (1994) 321-332.
    • (1994) Commun. Math. Phys. , vol.162 , pp. 321-332
    • Matsui, T.1
  • 33
    • 33646751994 scopus 로고
    • Notes on non-commutative integration
    • E. Nelson, "Notes on non-commutative integration", J. Func. Anal. 15 (1974) 103-116.
    • (1974) J. Func. Anal. , vol.15 , pp. 103-116
    • Nelson, E.1
  • 34
    • 0001598965 scopus 로고
    • Representation of uniformly hyperfinite algebras and their associated von Neumann rings
    • R. Powers, "Representation of uniformly hyperfinite algebras and their associated von Neumann rings", Ann. Math. 86 (1967) 138-171.
    • (1967) Ann. Math. , vol.86 , pp. 138-171
    • Powers, R.1
  • 37
    • 0000114353 scopus 로고
    • A non-commutative extension of abstract integration
    • I. E. Segal, "A non-commutative extension of abstract integration", Ann. of Math. 57 (1953) 401-457.
    • (1953) Ann. of Math. , vol.57 , pp. 401-457
    • Segal, I.E.1
  • 38
    • 84934706130 scopus 로고
    • On the general theory of measure and integration in von Neumann algebras
    • Soviet Math. Trans.
    • A. N. Sherstnev, "On the general theory of measure and integration in von Neumann algebras", Izvestiya VUZ. Matematika. 26 (1982) 20-35 (Soviet Math. Trans.).
    • (1982) Izvestiya Vuz. Matematika , vol.26 , pp. 20-35
    • Sherstnev, A.N.1
  • 39
    • 84968466834 scopus 로고
    • Positive functions on C*-algebras
    • W. F. Stinespring, "Positive functions on C*-algebras", Proc. Amer. Math. Soc. 6 (1955) 211-215.
    • (1955) Proc. Amer. Math. Soc. , vol.6 , pp. 211-215
    • Stinespring, W.F.1
  • 40
    • 0002236462 scopus 로고
    • Logarithmic Sobolev inequalities for Gibbs states
    • Dirichlet Forms, Lecture given at the First C.I.M.E. Session held in Varenna, June 8-19, ed. G. Dell'Antonio and U. Mosco, Springer-Verlag
    • D. W. Stroock, "Logarithmic Sobolev inequalities for Gibbs states", Dirichlet Forms, Lecture given at the First C.I.M.E. Session held in Varenna, June 8-19, 1992, ed. G. Dell'Antonio and U. Mosco, Lecture Notes in Mathematics 1563, Springer-Verlag, 1993.
    • (1992) Lecture Notes in Mathematics , vol.1563
    • Stroock, D.W.1
  • 41
    • 33646924067 scopus 로고
    • Conditional expectations in von Neumann algebras
    • M. Takesaki, "Conditional expectations in von Neumann algebras", J. Func. Anal. 9 (1972) 306-321.
    • (1972) J. Func. Anal. , vol.9 , pp. 306-321
    • Takesaki, M.1
  • 43
    • 0000407699 scopus 로고
    • Interpolation spaces between a von Neumann algebra and its dual
    • M. Terp, "Interpolation spaces between a von Neumann algebra and its dual", J. Operator Theory 8 (1982) 327-360.
    • (1982) J. Operator Theory , vol.8 , pp. 327-360
    • Terp, M.1
  • 46
    • 0011326932 scopus 로고
    • p spaces with respect to a state on a von Neumann algebra
    • Soviet Math. Transl.
    • p spaces with respect to states on a von Neumann algebra and interpolation", Izvestiya VUZ. Matematika 26 (1982) 36-43 (Soviet Math. Transl.).
    • (1985) Izvestiya VUZ. Matematika , vol.29 , pp. 59-61
    • Zolotarev, A.A.1
  • 47
    • 0003375895 scopus 로고
    • p spaces with respect to states on a von Neumann algebra and interpolation
    • Soviet Math. Transl.
    • p spaces with respect to states on a von Neumann algebra and interpolation", Izvestiya VUZ. Matematika 26 (1982) 36-43 (Soviet Math. Transl.).
    • (1982) Izvestiya VUZ. Matematika , vol.26 , pp. 36-43


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.