Abstract
The problem of describing macroscopic variables in quantum theory, is discussed. It is suggested that the ‘eigenspaces’ of macroscopic variables be hyperspheres rather than closed linear subspaces. This is combined with the usual suggestion that macroscopic variables are nearly diagonal in the energy representation. The Schrödinger paradox is resolved in terms of this discussion.
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References
Allcock, G. (1969).Annals of Physics 53, 253, 286, 311.
Araki, H. and Yanase, M. (1960).Physical Review 120, 622.
Bunge, M. (1967).Foundations of Physics. Springer.
Eckstein, H. (1967).Physical Review 153, 1397; (1969).184, 1315.
Huang, K. (1963).Statistical Mechanics. Wiley.
Van Kampen, N. (1962). InFundamental Problems in Statistical Mechanics (Ed. Cohen). Amsterdam.
Krips, H. (1969).Philosophy of Science 86, 145.
Krips, H. (1974). Foundations of quantum theory, Parts 1, 2, and 3, Part 1 inFoundations of Physics 4, 181; other parts in subsequent issues.
Ludwig, G. (1954).Die Grundlagen der Quantemechanik. Springer.
Margenau, H. (1967). InStudies in the Foundations, Methodology and Philosophy of Science, Vol. 1 (Ed. Bunge). Springer.
Riesz, F. and Nagy, B. (1965).Functional Analysis. Unger.
Schiff, L. (1955).Quantum Mechanics. New York.
Schrödinger, E. (1935).Naturwissenschaften 48, 52.
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Krips, H. Macroscopic variables. Int J Theor Phys 12, 11–24 (1975). https://doi.org/10.1007/BF01884106
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DOI: https://doi.org/10.1007/BF01884106