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Correction to the hydrodynamical approximation for groups of Bogoljubov transformations

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Quantum Probability and Applications V

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1442))

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Abstract

The paper is devoted to the problem of deriving the equations which describe the evolution of the space profile of local equilibrium parameters of a state of CAR or CCR C*-algebra in the course of the time evolution determined by a group the Bogoljubov transformations. The correction to the hydrodynamic limit is obtained.

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References

  1. Boldrighini C., Dobrushin R.L., Suhov Yu.M. J. Stat. Phys., 1983, 31, 577–615.

    Article  ADS  MathSciNet  Google Scholar 

  2. Dobrushin R.L., Pellegrinotti A., Suhov Yu.M., Triolo L. J; Stat. Phys., 1986, 43, 571–607.

    Article  ADS  MathSciNet  Google Scholar 

  3. De Masi A., Ianiro N., Pellegrinotti A., Presutti E. In: Nonequilibrium Phenomena, II. From Stochastics to Hydrodynamucs (Montroll E.W. and Lebowutz J.L., eds.). North-Holland, Amsterdam, 1984.

    Google Scholar 

  4. Dobrushin R.L., Sinai Ya.G., Suhov Yu.M. In: Itogi Nauki i Tehniki. Sovremennye Problemy Matematiki. Fundamentalnye Napravlenija. 1985, v. 2, 235–284.

    Google Scholar 

  5. Suhov Yu.M., Shuhov A.G. Tr. Mosc. Mat. Ob-va, 1987, 50, 156–208.

    Google Scholar 

  6. Boldrighini C., Wick D.Fluctuations in one-dimensional mechanical systems Preprint, 1988.

    Google Scholar 

  7. Dobrushin R.L., Pellegrinotti A., Suhov Yu.M., Triolo L. J. Stat. Phys., 1988, 52, 423–439.

    Article  ADS  MathSciNet  Google Scholar 

  8. Shuhov A.G., Suhov Yu.M. Ann. Phys., 1987, 175:2, 231–266.

    Article  ADS  MathSciNet  Google Scholar 

  9. Fedorjuk M.V. Metod Perevala. Nauka, Moskwa, 1987.

    Google Scholar 

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Luigi Accardi Wilhelm von Waldenfels

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© 1990 Springer-Verlag

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Shuhov, A.G., Suhov, Y.M. (1990). Correction to the hydrodynamical approximation for groups of Bogoljubov transformations. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications V. Lecture Notes in Mathematics, vol 1442. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085530

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  • DOI: https://doi.org/10.1007/BFb0085530

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53026-8

  • Online ISBN: 978-3-540-46311-5

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