Abstract
In Quantum Mechanics, as well known, due to the occurrence of the so called interference terms, any statement has to refer to a definite experiment performed on an object, i.e. to the response of a specific apparatus. No unambiguous meaning can be attached to statements on the value of any quantity independently of an explicit measurement of it.
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References
G.M. Prosperi, Models of the Measuring Process and of the Macro Theories, in Lecture Notes in Physics 29, Springer, Berlin (1973), p. 163.
B.d’Espagnat ed., Proc. Enrico Fermi School, course IL, Academic Press, New York (1971). M.M.Yanase, M.Namiki, S.Machida ed., Selected Papers on the Theory of Measurement in Quantum Mechanics, Phys.Soc. Japan, Tokyo (1978). Wheeler, Zureck, Quantum Theory of Measurement, Princeton University Press (1983). For recent contributions see e.g. the Proceedings of the “International Symposium on Foundations of Quantum Mechanics” (Tokyo, August 29–31 1983) (to appear) and: S. Machida and M. Namiki, Theory of Measurement in Quantum Mechanics, Prog. Theor. Phys. 63: 1457 (1980); 63: 1833 ( 1980 ); B.Misra and I.Prigogine, A Letter on Measurement Processes and Irreversibility, to appear in Proceedings of the “Workshop on Fundamental Logical Concepts of Measurement” (Torino, September 1983 ).
G.Ludwig, Measuring and Preparing Processes, in Lecture Notes in Physics 29, Springer, Berlin (1973),p. 122; Makroskopische Systeme und Quantenmechanik, in Notes in Math. Phys., Marburg (1972).
B.Misra and E.C.G. Sudarshan, The Zeno’s Paradox in Quantum Theory, J.Math.Phys. 18: 756 (1977).
G.Ludwig, Deutung des Begriffs “Physikalische Theorie” und axiomatische Grundlegung der Hibertraumstruktur der Quantenmechanik durch Hauptsatze des Messens, Lecture Notes in Physics 4, Springer, Berlin U970 ); Foundation of Quantum Mechanics, Springer, Berlin (1982).
E.B.Davies, Quantum Theory of Open Systems, Academic Press, London (1976).
A.S.Holevo, Probabilistic and Statistical Aspects of Quantum Theory, North Holland, Amsterdam (1982).
E. Prugovecki, Stochastic Quantum Mechanics and Quantum Spacetime, Reidel, Dordrecht and Boston (1983).
A.Barchielli, L.Lanz and G.M.Prosperi, A Model for the Macroscopic Description and Continual Observations in Quantum Mechanics, Nuovo Cimento 72B: 79 (1982).
A.Barchielli, L.Lanz and G.M.Prosperi, Statistics of Continuous Trajectories in Quantum Mechanics: Operation — Valued Stochastic Processes, Found, of Physics 13: 779 (1983).
A.Barchielli, Continual Measurements for Quantum Open Systems, Nuovo Cimento 74B: 113 (1983); Continual Observations in Quantum Mechanics and the Problem of Macroscopic Description, to appear in: Proceedings of the “Workshop on Fundamental Logical Concepts of Measurement” (Torino, Sept. 1983 ).
G.M.Prosperi, The Quantum Measurement Process and the Observation of Continuous Trajectories, to appear in Lecture Notes in Physics, Springer, Berlin.
G.Lupieri, Generalized Stochastic Processes and Continual Observations in Quantum Mechanics, J.Math. Phys. 24: 2329 (1983); A.Rimini, Quantum Mechanics for Macroscopic Bodies: a Reformulation of the Milan Approach, preprint, Salerno (1983).
K.Kraus, Operations and Effects in the Hilbert Space Formulation of Quantum Theory, in Lecture Notes in Physics 29, Springer, Berlin (1973), p. 206.
I.M.Gel’fand and N.Ya. Vilenkin, Gneralized Functions, Applications of Harmonic Analysis, vol. 4, Academic Press, New York and London (1964).
M.C.Reed, Functional Analysis and Probability Theory, in Lecture Notes in Physics 25, Springer, Berlin (1973), p. 2.
V.Gorini, A.Kossakowski and E. C. G. Sudarshan, Completely Positive Dynamical Semigroups of N-level Systems, J. Math. Phys. 17: 821 (1976).
G.Lindblad, On the Generators of Quantum Dynamical Semigroups, Commun. Math.Phys. 48: 119 (1976).
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© 1985 Plenum Press, New York
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Barchielli, A., Lanz, L., Prosperi, G.M. (1985). Continual Observations in Quantum Mechanics. In: Casati, G. (eds) Chaotic Behavior in Quantum Systems. NATO ASI Series, vol 120. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2443-0_22
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DOI: https://doi.org/10.1007/978-1-4613-2443-0_22
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