# 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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top## How to cite

topGielerak, 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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- [3] R. Gielerak and R. Olkiewicz, Gentle perturbations of the free Bose gas. I, J. Stat. Phys. 80 (1995), 875-918. Zbl1081.82508
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- [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. Zbl0498.60098
- [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] 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] 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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