참고문헌
- G. Alii and G. L. Sewell, New method and structures in the theory of the multimode Dicke laser model, J. Math. Phys. 36 (1995), no. 10, 5598-5626 https://doi.org/10.1063/1.531279
- C. Bahn and C. K. Ko, Construction of unbounded Dirichlet forms on standard forms of von Neumann Algebras, J. Korean Math. Soc. 39 (2002), no. 6, 931-951 https://doi.org/10.4134/JKMS.2002.39.6.931
- C. Bahn, C. K. Ko, and Y. M. Park, Dirichlet forms and symmetric Markovian semigroups on CCR Algebras with quasi-free states, J. Math. Phys. 44 (2003), 723-753 https://doi.org/10.1063/1.1532770
-
C. Bahn, C. K. Ko, and Y. M. Park, Construction of symmetric Markovian semigroups on standard forms of
$Z_2$ -graded von Neumann Algebras, Rev. Math. Phys. 15 (2003), 823-845 https://doi.org/10.1142/S0129055X03001825 - C. Bahn and Y. M. Park, Feynman Kac representation and Markov property of semigroups generated by noncommutative elliptic operators, Infin. Dimens Anal. Quantum Probab. Relat. Top. 6 (2003), no. 1, 103-121
- O. Bratteli and D. W. Robinson, Operator algebras and quantum statistical mechanics, 2nd Edition, Springer-Verlag, New York-Heidelberg-Berlin, vol I 1987, vol. II 1997
- F. Cipriani, Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebras, J. Funct. Anal. 147 (1997), 259-300 https://doi.org/10.1006/jfan.1996.3063
- E. B. Davies, Quantum theory of open systems, Academic Press, London-New York-San Francisco, 1976
- E. B. Davies and J. M. Lindsay, Superderivations and symmetric Markov semigroups, Comm. Math. Phys. 157 (1993), 359-370 https://doi.org/10.1007/BF02099765
- C. K. Ko and Y. M. Park, Construction of a Family of Quantum OrnsteinUhlenbeck Semigroups, J. Math. Phys. 45 (2004) 609-627 https://doi.org/10.1063/1.1641150
- A. Luczak, Mixing and asymptotic properties of Markov semigroups on von Neumann algebras, Math. Z. 235 (2000) 615-626 https://doi.org/10.1007/s002090000159
- A. W. Majewski and B. Zegarlinski, Quantum stochastic dynamics I: Spin systems on a lattice, Math. Phys. Electron. J. 1 (1995)
- A. W. Majewski and B. Zegarlinski, Quantum. stochastic dynamics II, Rev. Math. Phys. 8 (1996), 689-713 https://doi.org/10.1142/S0129055X9600024X
- Y. M. Park, Construction of Dirichlet forms and standard forms of von Neumann algebras, Infin. Dimens Anal. Quantum Probab. Relat. Top, 3 (2000), 1-14 https://doi.org/10.1142/S0219025700000029
- K. R. Parthasarathy, An introduction to quantum stochastic calculus, Birkhauser, Basel (1992)
- I. E. Segal, A non-commutative extension of abstract integration, Ann. of Math. 57 (1953), 401-456 https://doi.org/10.2307/1969729