Abstract
A quantum-mechanical model of a detector monitoring the decay of an unstable object is constructed. Detailed investigation of the time evolution of this model shows that under some conditions the non-decay probability of many successively measured unstable particles coincides with that following from the state-reduction postulate. The probability of realizing continuous measurement without the Zenoparadox is demonstrated for this model.
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References
H.Ekstein and A.J.F.Siegert,Ann.Phys. (NY) 68(1971)509.
L.Fonda, G.C.Ghirardi and A.Rimini,Rep.Prog.Phys. 41 (1978)587.
W.Garczyński,Phys.Lett. 56A(1976)434.
C.B.Chiu, B.Misra and E.C.G.Sudarshan,Phys.Rev. D1?? (1977)520.
B.Misrs and E.C.G.Sudarshan,J.Math.Phys. 18(1977)756.
K.Kraus,Found. Phys. 11 (1981)547.
A.Sudbery,Ann.Phys. (NY) 157 (1984)512.
K.Urbanowski,Int.J.Mod.Phys.A 6(1991)1051.
M.A.Braun, K.Urbanowski,Found. Phys. 22(1992)617.
E.g., A.Barchielli, L.Lanz and G.M.Prosperi,Nuovo Cimento 72B(1988)79.
E.P.Wigner,Am.J.Phys. 31 (1963)6,Proceedings, S.I.F., Course IL, B.D Espagnat, ed. (Academic Press, New York, 1971), p p.1–19.
W.Pauli,Die allgemeinen Prinzipien der Wellenmechanik (Handbuch der Physik, Bd.5, Teil 1), (Springer, Berlin, 1958).
A.Messiah,Quantum Mechanics, vol.1 (North-Holland, Amsterdam 1964).
J.M. Jauch,Foundations of Quantum Mechanics (Adison-Wesley, London, 1968).
K.Kraus,Found. Phys. 15(1985)717.
E.g., W.Thirring,A course in mathematical physics. Vol.3: Quantum mechanics of atoms and molecules (Springer, New York, 1981).
K.Urbanowski,Acta Phys.Polon. B14(1983)485.
Ch.N.Friedman,Indiana University Math. J. 21 (1972)1001,Ann.Phys. (NY) 98(1976)87.
A Peres,Am.J.Phys. 48(1980)931.
D.Home and M.A.B.Whitaker,J.Phys.A: Math. Gen. 19(1986) 1847.
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Urbanowski, K. A proposal for a model of many-successive measuring process. Found Phys Lett 6, 167–189 (1993). https://doi.org/10.1007/BF00697324
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DOI: https://doi.org/10.1007/BF00697324