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Towards the Euclidean Formulation of Quantum Statistical Mechanics

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On Three Levels

Part of the book series: NATO ASI Series ((NSSB,volume 324))

Abstract

Several aspects of the Quantum Statistical Mechanics in the Euclidean Region are discussed. The axiomatic approach to the purely Euclidean formulation of QSM is proposed. Some reconstruction procedures of real time structures are presented. A new functional integral representation of multi-time Green functions by a bounded complex reflection positive measures is obtained.

Supported by KBN grant No 200609101

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References

  1. O. Bratelli and D.W. Robinson, “Operator Algebras and Quantum Statistical Mechanics. II”, Springer, New York, (1981).

    Google Scholar 

  2. H. Araki, PublRIMS ,4, 361(1968).

    MathSciNet  MATH  Google Scholar 

  3. M. Winnink, Some general properties of thermodynamic states in an algebraic approach, in: “Statistical Mechanics and Field Theory”, Jerusalem (1971).

    Google Scholar 

  4. A. Klein and L.J. Landau, J. Funct. Anal. ,42, 368 (1981).

    Article  MathSciNet  MATH  Google Scholar 

  5. R. Gielerak, L. Jakóbczyk and R. Olkiewicz, Reconstruction of KMS structure from Euclidean Green functions, BiBoS preprint 581/6/1993.

    Google Scholar 

  6. B. Simon, “The P( Q )2 - Euclidean (Quantum) Field Theory”, Princeton, (1974).

    Google Scholar 

  7. A. Klein and L.J. Landau, J.Funct.AnaL ,44, 121 (1981).

    Article  MathSciNet  MATH  Google Scholar 

  8. W. Driessler, L. Landau and J.F. Perez, J.Stat.Phys. ,20, 123 (1979).

    Article  MathSciNet  ADS  Google Scholar 

  9. J. Ginibre, Some applications of functional integration in statistical mechanics, in: “Statistical Mechanics and Quantum Field Theory”, Gordon Breach, New-York (1971).

    Google Scholar 

  10. R. Gielerak and L. Jakóbczyk, Canonical Markov processes connected to Bisognano - Wichmann theorem., in preparation.

    Google Scholar 

  11. J.J. Bisognano and E.H. Wichmann, J.Maih.Phys. ,16, 985 (1975).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. D. Widder, Bull. Amer. Math. Soc ,40, 321 (1934).

    Article  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Theoretical Physics, University of Wrocław, pl.M.Borna 9, PL-50-205, Wrocław, Poland

    Roman Gielerak, Lech Jakóbczyk & Robert Olkiewicz

Authors
  1. Roman Gielerak
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  2. Lech Jakóbczyk
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  3. Robert Olkiewicz
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Editor information

Editors and Affiliations

  1. Katholieke Universiteit Leuven, Leuven, Belgium

    André Verbeure

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© 1994 Springer Science+Business Media New York

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Gielerak, R., Jakóbczyk, L., Olkiewicz, R. (1994). Towards the Euclidean Formulation of Quantum Statistical Mechanics. In: Fannes, M., Maes, C., Verbeure, A. (eds) On Three Levels. NATO ASI Series, vol 324. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2460-1_40

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  • DOI: https://doi.org/10.1007/978-1-4615-2460-1_40

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6047-6

  • Online ISBN: 978-1-4615-2460-1

  • eBook Packages: Springer Book Archive

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