Abstract
We consider the superposition of macroscopically distinguishable states for a measuring process whose time evolution is described by the Schrödinger equation. We ask whether it is possible to observe interference effects due to the above mentioned superposition and how to observe them, taking into consideration an experiment performed by other authors. We find a necessary condition in order to be able to observe these effects. We also point out some very serious difficulties in observing them and analyse the connection between some of these difficulties and the Wigner-Araki-Yanase theory. We try to explain why the whole problem seems to us to be far from having a solution and we suggest some paths we think worthy of further investigation.
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References
J. von Neumann,Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, 1955).
L. de Broglie,La théorie de la mesure en mécanique ondulatoire (Gauthier-Villars, Paris, 1957).
W. Pauli,Die allgemeinen Prinzipien der Wellenmechanik, Handbuch der Physik, Vol. V, Part I (Springer, Berlin, 1958), p. 73.
B. d'Espagnat,Conceptual Foundations of Quantum Mechanics (W. A. Benjamin, London, 1976).
E. P. Wigner,Zeits. Phys. 133, 101 (1952).
H. Araki and M. M. Yanase,Phys. Rev. 120, 622 (1960).
M. M. Yanase,Phys. Rev. 123, 666 (1961).
B. d'Espagnat,Conceptual Foundations of Quantum Mechanics (W. A. Benjamin, London, 1976), p. 46.
D. Bedford and D. Wang,Nuovo Cimento 32B, 243 (1976).
E. Schrödinger,Naturwissenschaften 23, 807 (1935).
L. L. Van Zandt,Am. J. Phys. 45, 52 (1977).
D. Gutkowski and A. Scalia,J. Math. Phys. 9, 588 (1968).
D. Gutkowski and A. Scalia,J. Math. Phys. 10, 2306 (1969).
R. Giordano, D. Gutkowski, A. Scalia, and G. Schiffrer,Nuovo Cimento 61A, 269 (1981).
J. von Neumann,Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, 1955), p. 422.
L. de Broglie,La théorie de la mesure en mécanique ondulatoire (Gauthier-Villars, Paris, 1957), p. 17.
G. Birkhoff,Lattice Theory (American Mathematical Society, Providence, Rhode Island, 1961), p. 29.
F. Selleri and G. Tarozzi,Riv. Nuovo Cimento 4, 1 (1981).
J. S. Bell,Helv. Phys. Acta 48, 93 (1975).
M. Cini, M. De Maria, G. Mattioli, and F. Nicolò,Found. Phys. 9, 479 (1979).
L. de Broglie,La théorie de la mesure en mécanique ondulatoire (Gauthier-Villars, Paris, 1957), p. 38.
B. d'Espagnat,Conceptual Foundations of Quantum Mechanics (W. A. Benjamin, London, 1976), Chap. XVII.
K. Hepp,Helv. Phys. Acta 45, 237 (1972).
M. O. Scully, R. Shea, and J. D. McCullen,Physics Reports 43, 485 (1978).
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This work was supported by Ministero della Pubblica Istruzione.
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Gutkowski, D., Franco, M.V.V. On the quantum mechanical superposition of macroscopically distinguishable states. Found Phys 13, 963–986 (1983). https://doi.org/10.1007/BF00729517
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DOI: https://doi.org/10.1007/BF00729517