Abstract
This work examines whether the environmentally-induced decoherence approach in quantum mechanics brings us any closer to solving the measurement problem, and whether it contributes to the elimination of subjectivism in quantum theory. A distinction is made between ,collapse, and ,decoherence,, so that an explanation for decoherence does not imply an explanation for collapse. After an overview of the measurement problem and of the open-systems paradigm, we argue that taking a partial trace is equivalent to applying the projection postulate. A criticism of Zurek's decoherence approach to measurements is also made, based on the restriction that he must impose on the interaction between apparatus and environment. We then analyze the element of subjectivity involved in establishing the boundary between system and environment, and criticize the incorporation of Everett's branching of memory records into the decoherence research program. Sticking to this program, we end by sketching a proposal for ‘environmentally-induced collapse’.
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REFERENCES
Albrecht, A.: 1993, ,Following a “Collapsing” Wave Function', Physical Review D 48, 3768-3778.
Baumann, K.: 1970, ,Quantemechanik und Objektivierbarkeit', Zeitschrift f¨ur Naturforschung 25 a 1954–1956.
Bell, J. S.:1990, ,Against “Measurement”', in A. I. Miller (ed.), Sixtytwo Years of Uncertainty, Plenum, New York, pp. 17–31.
Blum, K.: 1981, Density Matrix Theory and Applications, Plenum, New York.
Bohm, D.: 1951, Quantum Theory, Prentice-Hall, Englewood Cliffs, New Jersey.
Borel, É.: 1914, Le Hasard, Alcan, Paris.
Brown, H.: 1986, ,The Insolubility Proof of the Quantum Measurement Problem', Foundations of Physics 16, 857–870.
Bub, J.: 1968, ,The Daneri-Loinger-Prosperi Quantum Theory of Measurement', Il Nuovo Cimento 57B, 503–520.
Burbury, S. H.: 1894–1895, ,Boltzmann's Minimum Function', Nature 51, 78, 320; 52, 104–105.
Caldeira, A. O. and A. J. Leggett: 1983, ,Path Integral Approach to Quantum Brownian Motion', Physica 121A, 587–616.
Cartwright, N.: 1983, How the Laws of Physics Lie, Clarendon, Oxford.
Daneri, A., A. Loinger and G. M. Prosperi: 1962, ,Quantum Theory of Measurement and Ergodicity Conditions', Nuclear Physics 33, 297–319. (Reprinted in Wheeler and Zurek (1983), op. cit., pp. 657–679.)
Davidovich, L., M. Brune, J. M. Raimond and S. Haroche: 1996, ,Mesoscopic Quantum Coherence in Cavity QED: Preparation and DecoherenceMonitoring Schemes', Physical Review A 53, 1295–1309.
d'Espagnat, B.: 1976, Conceptual Foundations of Quantum Mechanics, 2nd ed., Benjamin, Reading.
Englert, B.-G., M. O. Scully, H. Walther, E. P. Storey, S. M. Tan, M. J. Collett and D. F. Walls 1995, ,Complementarity and Uncertainty', Nature 375, 367–368.
Everett, III, H.: 1957, ,Relative State Formulation of Quantum Mechanics', Reviews of Modern Physics 29, 454–462. (Reprinted in Wheeler and Zurek (1983), op. cit., pp. 315–23.)
Fano, U.: 1957, ,Description of States in Quantum Mechanics by Density Matrix and Operator Techniques', Reviews of Modern Physics 29, 74–93.
Fine, A. I.: 1970, ,Insolubility of the Quantum Measurement Problem', Physical Review D 2, 2783–2787.
Fine, A. I.: 1973, ,The Two Problems of Quantum Measurement', in P. Suppes, L. Henkin, A. Joja and G. C. Moisil (eds.), Logic, Methodology and Philosophy of Science IV, North-Holland, Amsterdam, pp. 567-581.
Furry, W. H.: 1966, ,Some Aspects of the Quantum Theory of Measurement', in W. E. Brittin (ed.), Lectures in Theoretical Physics VIII A, University of Colorado Press, Boulder, pp. 1–64.
Ghirardi, G. C., A. Rimini and T. Weber: 1986, ,Unified Dynamics for Microscopic and Macroscopic Systems', Physical Review D 34, 470–491.
Ghirardi, G. C., A. Rimini and T. Weber, T.: 1987, ,Disentanglement of Quantum Wave Functions: Answer to “Comment on ,Unified Dynamics for Microscopic and Macroscopic Systems”, ,, Physical Review D 36, 3287–3289.
Ghirardi, G. C., R. Grassi and P. Pearle: 1990, ,Relativistic Dynamical Reduction Models: General Framework and Examples', Foundations of Physics 20, 1271–1316.
Gisin, N. and I. C. Percival: 1992, ,Wavefunction Approach to Dissipative Processes: are there Quantum Jumps?', Physics Letters A 167, 315–318.
Green, H. S.: 1957, ,Observation in Quantum Mechanics', Il Nuovo Cimento 9, 880–889.
Grossman, N.: 1974, ,The Ignorance Interpretation Defended', Philosophy of Science 41, 333-344.
Haake, F.: 1973, ,Statistical Treatment of Open Systems by Generalized Master Equations', Springer Tracts in Modern Physics 66, 98–168.
Heisenberg, W.: 1958, Physics and Philosophy. Harper, New York.
Hu, B. L., J. P. Paz and Y. Zhang: 1992–1993, ,Quantum Brownian Motion in a General Environment', Physical Review D 45, 2843–2861; 47, 1576–1594.
Jammer, M.: 1974, The Philosophy of Quantum Mechanics. Wiley, New York.
Jauch, J. M.: 1964, ,The Problem of Measurement in Quantum Mechanics', Helvetica Physica Acta 37, 293–316.
Joos, E.: 1987, ,Comment on “Unified Dynamics for Microscopic and Macroscopic Systems”', Physical Review D 36, 3285–3286.
Joos, E. and H. D. Zeh: 1985, ,The Emergence of Classical Properties through Interaction with the Environment', Zeitschrift f¨ur Physik B 59, 223–243.
Omnès, R.: 1992, ,Consistent Interpretations of Quantum Mechanics', Reviews of Modern Physics 64, 339–382.
Pessoa Jr., O.: 1992, ,Reversibility and the Interpretation of Mixtures', in D. Hull, M. Forbes and K. Okruhlik (eds.), PSA 1992, Vol. 1, Philosophy of Science Association, East Lansing, MI, pp. 381-392.
Pessoa Jr., O.: 1994, ,Simple Realizations of Generalized Measurements in Quantum Mechanics', Foundations of Physics Letters 7, 447–457.
Physics Today: 1993, ,Negotiating the Tricky Border between Quantum and Classical, (letters by J. L. Anderson, G. C. Ghirardi, R. Grassi and P. Pearle, N. Gisin, D. Z Albert and G. Feinberg, P. R. Holland, V. Ambegaokar, K. J. Epstein, W. H. Zurek), Physics Today 46(4), 13–15, 81–90.
Primas, H. (1990), ,Induced Nonlinear Time Evolution of Open Quantum Objects', in A. I. Miller (ed.), Sixtytwo Years of Uncertainty, Plenum, New York, pp. 259–280.
SÜssmann, G.: 1957, ,An Analysis of Measurement', in S. Körner (ed.), Observation and Interpretation in the Philosophy of Physics, Dover, New York, pp. 131–136.
von Neumann, J.: [1932] 1955, Mathematical Foundations of Quantum Mechanics. Princeton University Press, New Jersey. (German original: Mathematische Grundlagen der Quantenmechanik. Springer Verlag, Berlin.)
Wangsness, R. K. and F. Bloch: 1953, ,The Dynamical Theory of Nuclear Induction', Physical Review 89, 728–739.
Wheeler, J.A. and W. H. Zurek, (eds.): 1983, Quantum Theory and Measurement, Princeton University Press, New Jersey.
Whittaker, E. T.: 1943, ,Chance, Freewill and Necessity in the Scientific Conception of the Universe', Proceedings of the Physical Society 55, 459–471.
Wigner, E. P.: 1963, ,The Problem of Measurement', American Journal of Physics 31, 6–15. (Reprinted in Wheeler and Zurek (1983), op. cit., pp. 324–341.)
Wigner, E. P.: 1983, ,Review of the Quantum Mechanical Measurement Problem', in P. Meystre and M. O. Scully (eds.), Quantum Optics, Experimental Gravity, and Measurement Theory, Plenum, New York, pp. 43–63.
Zaoral, W.: 1991, ,Towards a Derivation of a NonLinear Stochastic Schrödinger Equation for the Measurement Process from Algebraic Quantum Mechanics', in P. Lahti and P. Mittelstaedt (eds.), Symposium on the Foundations of Modern Physics 1990, World Scientific, Singapore, pp. 479–486.
Zeh, H. D.: 1970, ,On the Interpretation ofMeasurement in Quantum Theory', Foundations of Physics 1, 69–76. (Reprinted in Wheeler and Zurek (1983), op. cit., pp. 342–349.)
Zeh, H.D.: 1971, ,On the Irreversibility of Time and Observation in Quantum Theory', in B. d'Espagnat (ed.), Foundations of Quantum Mechanics. Academic, New York, pp. 263–273.
Zeh, H. D.: 1989, The Physical Basis of the Direction of Time Springer Verlag, Berlin.
Zeh, H. D.: 1993, ,There are no Quantum Jumps, nor are there Particles!', Physics Letters A 172, 189–192.
Zurek, W. H.: 1981, ,Pointer Basis of Quantum Apparatus: Into what Mixture does the Wave Packet Collapse?', Physical Review D 24, 1516-1525.
Zurek, W. H.: 1982, ,Environmentinduced Superselection Rules', Physical Review D 26, 1862–1880.
Zurek, W. H.: 1983, ,Information Transfer in Quantum Measurements: Irreversibility and Amplification', in P. Meystre and M. O. Scully (eds.), Quantum Optics, Experimental Gravity, and Measurement Theory. Plenum, New York, pp. 87–116.
Zurek, W. H.: 1991, ,Decoherence and the Transition from Quantum to Classical', Physics Today 44, 36–44.
Zurek, W. H.: 1993, ,Preferred States, Predictability, Classicality and the EnvironmentInduced Decoherence', Progress of Theoretical Physics 89, 281–312.
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Pessoa, O. Can the Decoherence Approach Help to Solve the Measurement Problem?. Synthese 113, 323–346 (1997). https://doi.org/10.1023/A:1004994303863
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DOI: https://doi.org/10.1023/A:1004994303863