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Large deviations and the boson gas

Part of the Lecture Notes in Mathematics book series (LNM,volume 1325)

Keywords

  • Large Deviation Principle
  • Particle Number Density
  • Cumulant Generate Function
  • Large Deviation Result
  • Basic Random Variable

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References

  1. J.T. Lewis: The Large Deviation Principle in Statistical Mechanics: An Expository Account, (this volume).

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  2. M. van den Berg, J.T. Lewis and J.V. Pulé: A General Theory of Bose-Einstein Condensation, Helv. Phys. Acta, 59, 1271–1288 (1986).

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  3. R. Ellis: Entropy, Large Deviations and Statistical Mechanics, New York: Springer 1985.

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  4. R. Azencott: Grandes deviations et applications, École d'Été de Probabilités de Saint-Flour VIII-1978, 1-176, LNM 774, Berlin: Springer 1980.

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  5. Y. Yamasaki: Measures on Infinite Dimensional Spaces, Singapore: World Scientific 1985.

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  6. M. van den Berg and J.T. Lewis: Limit Theorems for Stochastic Processes Associated with a Boson Gas, (this volume)

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  7. M. van den Berg, J.T. Lewis, J.V. Pulé: The Large Deviation Principle and some models of an interacting Boson Gas, to appear in Commun. Math. Phys.

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  8. K. Huang, C.N. Yang, J.M. Luttinger: Imperfect Bose gas with hard-sphere interactions, Phys. Rev., 105, 776–784 (1957).

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  9. D.J. Thouless: The Quantum Mechanics of Many-Body Systems, New York: Academic Press 1966.

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  10. M. van den Berg, J.T. Lewis, J.V. Pulé: (in preparation).

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© 1988 Springer-Verlag

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van den Berg, M., Lewis, J.T., Pulé, J.V. (1988). Large deviations and the boson gas. In: Truman, A., Davies, I.M. (eds) Stochastic Mechanics and Stochastic Processes. Lecture Notes in Mathematics, vol 1325. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077914

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  • DOI: https://doi.org/10.1007/BFb0077914

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50015-5

  • Online ISBN: 978-3-540-45887-6

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