참고문헌
- Pacific J. Math. v.50 Some properties of modular conjugation opertor of von Neumann algebras ans noncommutative Radon-Nikodym theorem with chain rule H. Araki https://doi.org/10.2140/pjm.1974.50.309
- Dirichlet forms and symmetric Markovian semigroups on CCR Algebras with quasi-free states C. Bahn;C. K. Ko;Y. M. Park
- Construction of symmetric Markovian semigroups on standard forms of Z₂-grcaded von Neumann Algebras
- Operator algebras and quantum statistical mechanics, 2nd Edition O. Bratteli;D. W. Robinson
- Comm. Math. Phys. v.210 Spectral Analysis and Feller Properties for Quantum Orratein-Uhlenbeck Semigroups F. Cipriani;F. Fagnola;J. M. Lindsay https://doi.org/10.1007/s002200050773
- J. Funct. Anal. v.147 Diricriet forms and Markvian semigroups on standard forms of von Neumuann algebras F. Cipriani https://doi.org/10.1006/jfan.1996.3063
- Math. Z. v.210 Non commutative symmetric Markov semigroups E. B. Davies;J. M. Lindsay https://doi.org/10.1007/BF02571804
- C. R. Acad. Sci. Paris. Ser. I Math. v.317 Beuring-Deny conditions for KMS-symmetric dynarmical semigroups S. Goldstein;J. M. Lindsay
- Math. Z. v.219 KMS-symmetric Markov semigroups
- J. Funct. Anal. v.135 Non-commutative Dirichlet forms on semifinite von Neumann,algebras D. Guido;T. Isoli;S. Scarlatti https://doi.org/10.1006/jfan.1996.0003
- Math. Phys. Electron. J. v.1 Quantum stochastic dynamics Ⅰ: Spin systems on a lattice A. W. Majewski;B. Zegarlinski
- Rev. Math. Phys. v.8 Quantun, stochastic dynamics Ⅱ
- Infin. Dimens. Anal. Quantum Probab. Relat. Top. v.3 Construction of Dirichlet forms and standard forms of von Neumann algebras Y. M. Park https://doi.org/10.1142/S0219025700000029
- J. Korean Math. Soc. v.1 Quanturn statistical mechanics of unbounded continuous spin systems
- J. Statist. Phys. v.75 A Characterization of Gibbs States of Lattice Boson Systems Y. M. Park;H. J. Yoo https://doi.org/10.1007/BF02186287
- Methods of Modern Mathmatical Physics Ⅱ M. Beed;B. Simon
- Functional Integration and Quantum Physics B. Simon
피인용 문헌
- Remarks on the decomposition of Dirichlet forms on standard forms of von Neumann algebras vol.48, pp.11, 2007, https://doi.org/10.1063/1.2804751
- REMARKS ON THE STRUCTURE OF DIRICHLET FORMS ON STANDARD FORMS OF VON NEUMANN ALGEBRAS vol.08, pp.02, 2005, https://doi.org/10.1142/S0219025705001925
- Ergodic property of Markovian semigroups on standard forms of von Neumann algebras vol.46, pp.11, 2005, https://doi.org/10.1063/1.2113067
- DIRICHLET FORMS AND SYMMETRIC MARKOVIAN SEMIGROUPS ON ℤ2-GRADED VON NEUMANN ALGEBRAS vol.15, pp.08, 2003, https://doi.org/10.1142/S0129055X03001825
- Construction of a family of quantum Ornstein–Uhlenbeck semigroups vol.45, pp.2, 2004, https://doi.org/10.1063/1.1641150