Skip to main content
SpringerLink
Log in

Stochastic approach to many bosons physics

  • Part II: Seminars
  • Conference paper
  • First Online:
Chaos — The Interplay Between Stochastic and Deterministic Behaviour

Part of the book series: Lecture Notes in Physics ((LNP,volume 457))

  • 181 Accesses

Abstract

The modular structure of the free Bose gas is completely described by a Gaussian periodic OS-positive generalized Markov process with values in S′(R d). Methods of Euclidean quantum field theory are applied to study some Gibbsian perturbations of the corresponding free Bose gas stochastic thermal structures leading to constructions of some modular structures which describe interacting Bosons in the thermal equilibrium. In particular it is shown that certain perturbations of the free Bose gas in the critical regime of couplings preserve nonergodicity and this phenomenon seems to be connected to the preservation of the Bose-Einstein condensate in the interacting system.

Supported by KBN grant No. 2P 302 057 07.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. O. Bratelli and O.W. Robinson, Operator Algebra and QSM II, Springer, New York, 1981, and refs therein.

    Google Scholar 

  2. Y.M. Park, J. Stat. Phys. 40, 259 (1985).

    Google Scholar 

  3. D. Brydges, P. Federbush, Comm. Math. Phys. 53, 19 (1977), and refs therein.

    Google Scholar 

  4. M. van der Berg, J.T. Lewis, Helv. Phys. Acta 59, 1271 (1988) and refs therein.

    Google Scholar 

  5. G. Benfatto, G. Gallavotti, A. Procacci, B. Scoppola, Comm. Math. Phys. 160, 93 (1994)

    Google Scholar 

  6. J. Feldman, J. Mangan, V. Rivasseau, E. Trubowitz, Helv. Phys. Acta, 65, 679 (1992).

    Google Scholar 

  7. S. Sakai, Operator Algebras in Dynamical Systems: the theory of unbounded derivations in C* Algebras, Cambridge Univ. Press, Cambridge, 1991.

    Google Scholar 

  8. J. Glimm, A. Jaffe, Quantum Physics: A Functional Integral Point of view, Springer, 1981.

    Google Scholar 

  9. R. Gielerak, L. Jakóbczyk, R. Olkiewicz JMP 35, 3726 (1994)

    Google Scholar 

  10. R. Gielerak, L. Jakóbczyk, R. Olkiewicz JMP 35, 6291 (1994).

    Google Scholar 

  11. R. Gielerak, R. Olkiewicz, BiBoS preprint, 1994, to appear in Journ. Stat. Phys. 1995.

    Google Scholar 

  12. R. Gielerak, R. Olkiewicz, papers in preparation.

    Google Scholar 

  13. J. Fröhlich, Y.M. Park, Comm. Math. Phys. 57, 235 (1978)

    Google Scholar 

  14. J. Fröhlich, Y.M. Park, Journ. Stat Phys. 23, 701 (1980). *** DIRECT SUPPORT *** A3418380 00008

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Physics, University of Wroclaw, PL 50-204, Wroclaw, Poland

    Roman Gielerak & Robert Olkiewicz

Authors
  1. Roman Gielerak
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Robert Olkiewicz
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Piotr Garbaczewski Marek Wolf Aleksander Weron

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag

About this paper

Cite this paper

Gielerak, R., Olkiewicz, R. (1995). Stochastic approach to many bosons physics. In: Garbaczewski, P., Wolf, M., Weron, A. (eds) Chaos — The Interplay Between Stochastic and Deterministic Behaviour. Lecture Notes in Physics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60188-0_69

Download citation

  • DOI: https://doi.org/10.1007/3-540-60188-0_69

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60188-3

  • Online ISBN: 978-3-540-44722-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation