Abstract
Ordinary Quantum Mechanics has to do with an idealized situation in which a system is prepared in a given state at an initial time t 0 , it is left to evolve freely for some time and it is submitted to some kind of measurement at a single final time t 1 or at certain well separated subsequent times t 1 , t 2,... In any case the single process is considered as pratically istantaneous.
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References
E.B. Davies, Quantum theory of open systems. (Academic London, 1976).
E.B. Davies, IEEE Trans. Inf. Theory 23 (1977), 530;
M.D. Srinivas, J. Math. Phys. 18 (1977), 2138;
M.D. Srinivas and E.B. Davies, Opt. Acta 28 (1981), 981.
A. Barchielli, L. Lanz and G.M. Prosperi, Nuovo Cimento, 72 B (1982), 79; Found. of Physics, 13 (1983), 779.
G. Lupieri, J. Math. Phys. 24 (1983), 2329.
A. Barchielli, Nuovo Cimento, 74 B (1983), 113; Phys. Rev. D 32 (1985), 347; preprint IFUM 311/FT (1985).
A. Barchielli and G. Lupieri, J. Math. Phys. 26 (1985), 2222; Lect. Notes in Math. 1136 (Springer, Berlin, 1986), 57.
L. Lanz, O. Melsheimer and S. Penati, preprint Univ. di Milano 1985.
Revue papers: G.M. Prosperi, Lect. Notes in Math. 1055 (Springer, Berlin, 1984), 301; A. Barchielli, L. Lanz and G.M. Prosperi, Proc. I.S.Q.M. Tokyo 1984, 165; Proc. Chaotic Behaviour in Q.S. Como 1984 (Plenum, New York, 1985), 321.
A. Rimini, Proc. Theoretical Physics Meeting — Amalfi, (ESI, Napoli, 1984), 275. G.C. Ghirardi, A. Rimini and T. Weber, I.C.T.P. preprint, IC/85/292.
Prof. V.P. Belavkin has kindly comunicated me that continuous observation can be treated even in the context of his formalism on control theory. (Cf. this volume).
K. Kraus, States, Effects, and Operations, Lect. Notes in Phys., 190 (Springer, Berlin, 1983); G. Ludwig, Foundations of Quantum Mechanics (Springer, Berlin, 1982); A.S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (North Holland, Amsterdam, 1982); E. Prugovecki, Stochastic Quantum Mechanics and Quantum Spacetime (Reidel, Pordrecht and Boston, 1983).
I.M. Gel’fand and N. Ya Vilenkin, Generalized Functions, Application of Harmonic Analysis, vol. 4 (Academic New York and London, 1964); M.C. Reed, Lect. Notes in Phys. 25 (Springer, Berlin, 1973).
V. Gorini, A. Kossakorowki and E.C.G. Sudarshan, J. Math., Phys. 17 (1976), 821.
G. Lidblad, Comm. Math. Phys. 48 (1976), 119.
R.L. Hudson and K.R. Parthasarathy, Comm. Math. Phys. 93 (1984), 301;
R.L. Hudson and K.R. Parthasarathy, Acta Appl. Math. 2 (1984), 353.
K.R. Parthasarathy, preprint Indian Statistical Inst., New Delhi 1985.
A.S. Holevo, preprint Steklov Math. Inst. Moskow, 1986.
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Prosperi, G.M. (1987). Quantum Theory of Continuous Observations Some Significant Examples. 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_12
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DOI: https://doi.org/10.1007/978-3-7091-2971-5_12
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