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Thermodynamic and Informational Entropies in Quantum Mechanics

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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 294))

Abstract

It is to-day a widespread opinion that entropy (in its thermodynamical sense) and information (in Shannon’s one) are closely related notions (or quantities). As is known, the idea was first initiated by L. Szilard[l] as early as 1929, resumed in 1931 by J. Von Neumann[2] in his treatise about Quantum Mechanics, and it was resumed again and more broadly developed by L. Bri11ouin[3] in 1956 after the publication of the work of C.E. Shannon[4].

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References

  1. Szilard, L.,: lieber die Entropieverninderung in einem thermodynamischen System bei Eingriffen intelligenter Wesen, Zeit. für Phys., 53 (1929), 840–856.

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  2. Von Neumann J.,: Mathematical foundations of Quantum Mechanics, Princeton Univ. Press, Princeton 1955.

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  3. Brillouin L.,: La science et la théorie de l’information, Masson, Paris 1959. Translation of the original american edition: Science and information theory, Acad. Press, N.Y. 1956 My quotations refer to the french edition.

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  4. Shannon, C.E. and Weaver, W.,: The mathematical theory of communication, Univ. of Illinois Press, Urbana 1949.

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  5. De Groot, S.R. and Mazur, P.,: Non-equilibrium Thermodynamics, North-Holland, Amsterdam 1962.

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  6. Fowler, R.H. and Guggenheim, M.A.,: Statistical Thermodynamics, Cambridge Univ. Press, London 1939.

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  7. Khinchin, A.Y.,: Mathematical foundations of Quantum Statistics, Graylock Press, Albany, N.Y. 1960.

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  8. Khinchin, A.Y.,: Mathematical foundations of Statistical Mechanics, Dover, N.Y. 1949.

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  9. Gibbs, J.W.,: On the equilibrium of heterogeneous substances, in: The scientific papers of J.W. Gibbs, Vol. I, Dover, N.Y. 1961.

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  10. Duhem, P.,: Traité d’Energétique, Gauthier-Villars, Paris 1911.

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A. Blaquiere S. Diner G. Lochak

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© 1987 Springer-Verlag Wien

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Fer, F. (1987). Thermodynamic and Informational Entropies in Quantum Mechanics. In: Blaquiere, A., Diner, S., Lochak, G. (eds) Information Complexity and Control in Quantum Physics. International Centre for Mechanical Sciences, vol 294. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2971-5_3

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  • DOI: https://doi.org/10.1007/978-3-7091-2971-5_3

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81992-0

  • Online ISBN: 978-3-7091-2971-5

  • eBook Packages: Springer Book Archive

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