Stochastic processes associated with thermal quasi-free states

• Autorzy: Roman Gielerak , Lech Jakóbczyk , Robert Olkiewicz
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1998
• Tom: 43
• Numer: 1
• Strony: 201-210

Daty

wydano

1998

Twórcy

autor

Roman Gielerak

• Institute of Theoretical Physics, University of Wrocław, pl. M. Borna 9, 50-204 Wrocław, Poland

autor

Lech Jakóbczyk

• Institute of Theoretical Physics, University of Wrocław, pl. M. Borna 9, 50-204 Wrocław, Poland

autor

Robert Olkiewicz

• Institute of Theoretical Physics, University of Wrocław, pl. M. Borna 9, 50-204 Wrocław, Poland

Bibliografia

• [1] O. Bratteli and D. Robinson, Operator Algebras and Quantum Statistical Mechanics,Vol. 2, Springer-Verlag, New York, 1981.
• [2] R. Gielerak, L. Jakóbczyk and R. Olkiewicz, Stochastically positive structures on Weyl algebras. The case of quasi-free states, BiBoS preprint, Nr 775/5/97.
• [3] R. Gielerak and R. Olkiewicz, Gentle perturbations of the free Bose gas. I, J. Stat. Phys. 80 (1995), 875-918.
• [4] R. Gielerak and R. Olkiewicz, Gentle perturbations of the free Bose gas. II. The critical regime, J. Math. Phys. 37 (1996), 1268-1286.
• [5] J. Leray, Hyperbolic Differential Equations, The Institute for Advanced Studies, Princeton, 1953.
• [6] B. S. Kay, Linear spin-zero quantum fields in external gravitational and scalar fields. I., Commun. Math. Phys. 62 (1978), 55-70.
• [7] A. Klein and L. J. Landau, Stochastic processes associated with KMS states, J. Funct. Anal. 42 (1981), 368-428.
• [8] A. Klein and L. J. Landau, Construction of a unique self-adjoint generator for a symmetric local semigroup, J. Funct. Anal. 44 (1981), 121-137.
• [9] A. Klein and L. J. Landau, Periodic Gaussian Osterwalder-Schrader positive processes and the two-sided Markov property on the circle, Pacific J. Math. 94 (1981), 341-367.
• [10] J. Manuceau, M. Sirugue, D. Testard and A. Verbeure, The smallest C*-algebra for canonical commutation relations, Commun. Math. Phys. 32 (1973), 231-242.