Abstract
In Chapter 7, we studied the discussions between Einstein and supporters of Copenhagen, in particular Max Born and Wolfgang Pauli, concerning the classical limit of quantum theory and macroscopic quantum theory. We discussed the argument of Born and Pauli that the limiting procedure was straightforward, and that there were no special features in macroscopic quantum theory, such as macrorealism, that could make it different in principle from microscopic quantum theory.
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References
Zeh H.D. (1970). On the interpretation of measurement in quantum theory, Foundations of Physics 1, 69–76.
Zurek W.H. (1991). Decoherence and the transition from quantum to classical, Physics Today 44(10), 36–44.
Kagan Y.A. and Leggett A.J. (1992). Quantum Tunnelling in Condensed Media. Amsterdam: Elsevier, Ch. 1.
Leggett A.J. (1993). The effect of dissipation on tunnelling, In: Proceedings of the 4th International Symposium on the Foundations of Quantum Mechanics in the Light of New Technology. Tokyo:Japanese Journal of Applied Physics, pp. 10–17.
Joos E. and Zeh H.D. (1985). The emergence of classical properties through interaction with the environment, Zeitschrift für Physik B 59, 223–43.
Omnès R. (1994). Interpretation of Quantum Mechanics. Princeton: Princeton University Press, Ch. 7.
Feynman R.P. and Vernon F.L. (1963). The theory of a general quantum system interacting with a linear dissipative system, Annals of Physics (New York) 24, 118–73.
Caldeira A.O. and Leggett A.J. (1983). Quantum tunnelling in a dissipative system, Annals of Physics (New York) 149, 374–56; 153, 445 (1984).
Leggett A.J. (1987). Quantum mechanics at the macroscopic level, In: Chance and Matter. (Souletie J. et al., (eds.)), Amsterdam: North-Holland, pp. 411–6.
Zurek W.H. (1993). Preferred states, predictability, classicality and the environment-induced decoherence, Progress of Theoretical Physics 89, 281–312.
Holland P. (1993). Quantum Theory of Motion. Cambridge: Cambridge University Press, Ch. 6.
Bolivar A.O. (2004). Quantum-Classical Correspondence. Berlin: Springer.
Leggett A.J. (1980). Macroscopic quantum systems and the quantum theory of measurement, Progress of Theoretical. Physics (Supplement) 69, 80–100.
Leggett A.J. and Garg A. (1985). Quantum mechanics versus macroscopic realism-is the flux there when nobody looks? Physical Review Letters 54, 857–60.
Leggett A.J. (1998). In: Quantum Measurement: Beyond Paradox. (Healey R.A. and Hellman G., (eds.)) Minneapolis: University of Minnesota Press, pp. 1–29.
van der Wal C.H., ter Haar A.C.J., Wilhelm F.K., Schouten R.N., Harmans C.J.P.M., Orlando T.P., Lloyd S. and Mooji J.E. (2000). Science 290, 773–7.
Friedman J.R., Patel V., Chen W, Tolpygo S.K. and Lukens J.E. (2000). Quantum superposition of distinct macroscopic states, Nature 406, 43–6.
Vion D., Aassime A., Cottet A., Joyez P., Pothier H., Urbina C, Esteve D. and Devoret M.H. (2002). Manipulating the quantum state of an electrical circuit, Science 296, 886–9.
Berry M.V. and Mount K.E. (1972). Semiclassical approximations in wave mechanics, Reports of Progress in Physics 35, 315–97.
Berry M.V. (1989). Quantum chaology not quantum chaos, Physica Scripta 40, 335–6.
Liboff R.L. (1984). The correspondence principle revisited, Physics Today 37, 50–5.
Morse P.M. and Feshbach H. (1953). Methods of Theoretical Physics. New York: McGraw-Hill, p. 1643.
Cabrera G.G. and Kiwi M. (1987). Large quantum-number states and the correspondence principle, Physical Review A 36, 2995–8.
Messiah A. (1961). Quantum Mechanics. Amsterdam: North-Holland, Vol. 1, Ch. 6.
Andrews M. (1981). The spreading of wavepackets in quantum mechanics, Journal of Physics. A. 14, 1123–9.
Peres A. (1993). Quantum Theory: Concepts and Methods. Dordrecht: Kluwer, Ch. 10.
Holland P. (1993). The Quantum Theory of Motion. Cambridge: Cambridge University Press, p. 256.
Ballentine L.E., Gang Y. and Zibin J.P. (1994). Inadequacy of Ehrenfest theorem to characterise the classical regime, Physical Review A 50, 2854–9.
Sewell G.L. (2002). Quantum Mechanics and its Emergent Macrophysics. Princeton: Princeton University Press.
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(2007). Bridging the Quantum-Classical Divide. In: Einstein’s Struggles with Quantum Theory. Springer, New York, NY. https://doi.org/10.1007/978-0-387-71520-9_12
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DOI: https://doi.org/10.1007/978-0-387-71520-9_12
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