Stochastic processes associated with thermal quasi-free states

Roman Gielerak; Lech Jakóbczyk; Robert Olkiewicz

Banach Center Publications (1998)

  • Volume: 43, Issue: 1, page 201-210
  • ISSN: 0137-6934

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Gielerak, Roman, Jakóbczyk, Lech, and Olkiewicz, Robert. "Stochastic processes associated with thermal quasi-free states." Banach Center Publications 43.1 (1998): 201-210. <http://eudml.org/doc/208840>.

@article{Gielerak1998,
author = {Gielerak, Roman, Jakóbczyk, Lech, Olkiewicz, Robert},
journal = {Banach Center Publications},
keywords = {stochastically positive structures; Weyl algebras; quasi-free states; quantum field theory; Markov thermal process},
language = {eng},
number = {1},
pages = {201-210},
title = {Stochastic processes associated with thermal quasi-free states},
url = {http://eudml.org/doc/208840},
volume = {43},
year = {1998},
}

TY - JOUR
AU - Gielerak, Roman
AU - Jakóbczyk, Lech
AU - Olkiewicz, Robert
TI - Stochastic processes associated with thermal quasi-free states
JO - Banach Center Publications
PY - 1998
VL - 43
IS - 1
SP - 201
EP - 210
LA - eng
KW - stochastically positive structures; Weyl algebras; quasi-free states; quantum field theory; Markov thermal process
UR - http://eudml.org/doc/208840
ER -

References

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  1. [1] O. Bratteli and D. Robinson, Operator Algebras and Quantum Statistical Mechanics,Vol. 2, Springer-Verlag, New York, 1981. Zbl0463.46052
  2. [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. Zbl0986.81070
  3. [3] R. Gielerak and R. Olkiewicz, Gentle perturbations of the free Bose gas. I, J. Stat. Phys. 80 (1995), 875-918. Zbl1081.82508
  4. [4] R. Gielerak and R. Olkiewicz, Gentle perturbations of the free Bose gas. II. The critical regime, J. Math. Phys. 37 (1996), 1268-1286. Zbl0880.46054
  5. [5] J. Leray, Hyperbolic Differential Equations, The Institute for Advanced Studies, Princeton, 1953. 
  6. [6] B. S. Kay, Linear spin-zero quantum fields in external gravitational and scalar fields. I., Commun. Math. Phys. 62 (1978), 55-70. 
  7. [7] A. Klein and L. J. Landau, Stochastic processes associated with KMS states, J. Funct. Anal. 42 (1981), 368-428. Zbl0498.60098
  8. [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. Zbl0473.47023
  9. [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. Zbl0464.60041
  10. [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. Zbl0284.46039

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