Abstract
The aim of the present paper is to show that the formalism of equilibrium quantum statistical mechanics can fully be incorporated into Ludwig's embedding scheme for classical theories in many-body quantum mechanics. A construction procedure based on a recently developed reconstruction procedure for the so-called macro-observable is presented which leads to the explicit determination of the set of classical ensembles compatible with the embedding scheme.
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References
G. Ludwig, “A Theoretical Description of Single Micro-Systems,” inThe Uncertainty Principle and Foundations of Quantum Mechanics, W. C. Price and S. S. Chissick, eds. (Wiley, New York, 1977).
G. Ludwig,Die Grundstrukturen einer physikalischen Theorie (Springer-Verlag, Berlin, 1978).
G. Ludwig,An Axiomatic Basis for Quantum Mechanics (Springer-Verlag, Berlin, 1984).
O. Melsheimer,Found. Phys. 12, 59 (1982).
O. Melsheimer,Found. Phys. 9, 193 (1979).
O. Melsheimer,Found. Phys. 10, 375 (1980).
R. Werner,The Concept of Embeddings in Statistical Mechanics, Doctoral Thesis, University of Marburg, 1982.
G. Ludwig,Foundations of Quantum Mechanics (Springer-Verlag, Berlin, 1982), Vol. 1.
I. Diestel and I. I. Uhl, Jr.,Vector Measures, Math. Survey 15 (Am. Math. Soc., Providence, R.I., 1977).
G. H. Hardy and M. Riesz,The General Theory of Dirichlet's Series (Cambridge U.P., London, 1915).
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Melsheimer, O. Quantum statistical mechanics as a construction of an embedding scheme. Found Phys 13, 745–758 (1983). https://doi.org/10.1007/BF01889352
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DOI: https://doi.org/10.1007/BF01889352