Abstract
We discuss recent developments in the foundations of quantum theory with a particular emphasis on description of measurement—like couplings between classical and quantum systems. The SQUID-tank coupling is described in some details, both in terms of the Liouville equation describing statistical ensambles and piecewise deterministic random process describing random behaviour of individual systems.
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References
J. S. Bell, Against ”Measurement” Physics World, August 1990, 33–40.
Ph. Blanchard, A. Jadczyk, On the interaction between classical and quantum systems, Physics Letters A 175 (1993) 157–164.
Ph. Blanchard, A. Jadczyk, Classical and Quantum Intertwine, in Proceedings of the Symposium of Foundations of Modern Physics, Cologne, June 1993, Ed. P. Mittelstaedt, World Scientific (1993).
Ph. Blanchard, A. Jadczyk, From Quantum Probabilities to Classical Facts, in Advances in Dynamical Systems and Quantum Physics, Capri, May 1993, Ed. R. Figari, World Scientific (1994).
R. Haag, Irreversibility introduced on a fundamental level, Comm. Math. Phys. 123 (1990) 245–251.
J. L. Sauvageot, J. P. Thouvenot, Une nouvelle définition de l’entropie dynamique des systémes non commutatifs, Comm. Math. Phys. 145 411–423 (1992).
P. Busch, P. J. Lahti, P. Mittelstaedt, The Quantum Theory of Measurement, Springer (1991).
M. Namiki, S. Pascazio, Quantum Theory of Measurement Based on the many-Hilbert-Space approach, Physics Reports 232 No. 6(1993) 301–411.
N. G. van Kampen, Macroscopic Systems in Quantum Mechanics, Physica A 194 (1993) 542–550.
J. S. Bell, Are these quantum jumps? in Schrödinger, Centenary of a Polymath”, Cambridge University Press (1987).
Ph. Blanchard, A. Jadczyk, Strongly coupled quantum and classical systems and Zeno’s effect, Physics Letters A 183 (1993) 272–276.
A. Connes, H. Narnhofer, W. Thirring, Dynamical entropy of C*-algebras and von Neumann algebras, Comm. Math. Phys. 112, 691–719 (1987).
Ph. Blanchard, A. Jadczyk, Coupled quantum and classical systems, measurement process, Zeno effect and all that, in preparation.
Ph. Blanchard, A. Jadczyk, Nonlinear effects in coupling between classical and quantum systems: SQUID coupled to a classical damped oscillator, to appear.
A. Jadczyk, Topics in Quantum Dynamics, to appear in Proc. First Caribbean Spring School of Math. and Theor. Phys., Saint Francois, Guadeloupe June 1993, World Scientific, to appear
Y. Aharonov, J. Anadan, L. Vaidman, Meaning of the wave function, Phys. Rev. A47 (1993) 4616–4626.
Y. Aharonov, L. Vaidman, Measurement of the Schrödinger wave of a simple particle, Phys. Letters A 178 (1993) 38–42.
T. P. Spiller, T. D. Clark, R. J. Prance, H. Prance, The adiabatic monitoring of quantum objects, Phys. Letters A170 (1992) 273–279.
T. P. Spiller, T. D. Clark, R. J. Prance, A. Widom, Quantum Phenomena in Circuits at low temperature, Progress in Low Temperature Physics, Vol. XIII (1992) 221–265.
J. F. Ralph, T. P. Spiller, T. D. Clark, R. J. Prance, H. Prance, Chaos in a coupled quantum-classical system, Phys. Letters A180 (1993) 56–60.
J. F. Ralph, T. P. Spiller, T. D. Clark, H. Prance, R. J. Prance, A. J. Clippingdale, Non-linear behaviour of teh rf-SQUID magnometer, Physica D63 (1993) 191–201.
Dekker, H.: On the phase space quantization of the linearly damped harmonic oscillator, Physica 95 A (1979) 311–323
Davis, M.H.A., Markov models and optimization, Chapman and Hall, London1991
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Blanchard, P., Jadczyk, A. (1995). How and When Quantum Phenomena Become Real. In: Haba, Z., Cegła, W., Jakóbczyk, L. (eds) Stochasticity and Quantum Chaos. Mathematics and Its Applications, vol 317. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0169-1_2
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DOI: https://doi.org/10.1007/978-94-011-0169-1_2
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