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Desiderata for a Modified Quantum Dynamics

Published online by Cambridge University Press:  31 January 2023

Abner Shimony
Abner Shimony*
Affiliation:
Boston University
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Extract

A cluster of problems — the “quantum mechanical measurement problem”, the “problem of the reduction of the wave packet”, the “problem of the actualization of potentialities,” and the “Schrödinger Cat problem” — are raised by standard quantum dynamics when certain assumptions are made about the interpretation of the quantum mechanical formalism. Investigators who are unwilling to abandon these assumptions will be motivated to propose modifications of the quantum formalism. Among these, many (including Professor Ghirardi and Professor Pearle) have felt that the most promising locus of modification is quantum dynamics, and in their presentations (this Volume) they have suggested stochastic modifications of the standard deterministic and linear evolution of the quantum state.

Type
Part II. John S. Bell Session: State Vector Reduction
Information
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association , Volume 1990 , Issue 2: Volume Two: Symposia and Invited Papers 1990 , 1990 , pp. 49 - 59
Copyright
Copyright © Philosophy of Science Association 1991

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Footnotes

1

This work was partially supported by the National Science Foundation, Grant No. 8908264.

References

Albert, D.Z.(1990), “On the Collapse of the Wave Function”, in Sixty-Two Years of Uncertainty: Historical, Philosophical, and Physical Inquiries into the Foundations of Quantum Mechanic., A.I., Miller (ed.). New York: Plenum Press, pp. 153–65.CrossRefGoogle Scholar
Bell, J.S. (1987), Speakable and Unspeakable in Quantum Mechanics.. Cambridge, U.K.: Cambridge University Press.Google Scholar
Bell, J.S. (1990), “Against ‘Measurement’”, in Sixty-Two Years of Uncertainty: Historical, Philosophical, and Physical Inquiries into the Foundations of Quantum Mechanic., Miller, A.I. (ed.). New York: Plenum Press, pp. 17–31.CrossRefGoogle Scholar
Bergquist, J.C., Hulet, R.G., Itano, W.M., and Wineland, J.J., (1986), “Observation of Quantum Jumps in a Single Atom”, Physical Review Letter. 57: 1699–1702.CrossRefGoogle Scholar
Bohr, N. (1913), “On the Constitution of Atoms and Molecules”, Philosophical Magazine. 26: 1–25.Google Scholar
Cohen-Tannoudji, C. and Dalibard, J. (1986), “Single-Atom Laser Spectroscopy. Looking for Dark Periods in Fluorescence Light”, Europhysics Letter. 1: 441–8.CrossRefGoogle Scholar
Cook, R J. (1990), “Quantum Jumps”, in Progress in Optics XXVII. Wolf, E. (ed.). Amsterdam: Elsevier Science Publishers., pp. 361–416.CrossRefGoogle Scholar
Dehmelt, H. (1975), “Proposed 1014Δv>v Laser Fluorescence Spectroscopy on T1+Mono-Ion Oscillator II”, Bulletin of the American Physical Society. 20: 60.v+Laser+Fluorescence+Spectroscopy+on+T1+Mono-Ion+Oscillator+II”,+Bulletin+of+the+American+Physical+Society.+20:+60.>Google Scholar
Diósi, L. (1988), “Quantum Stochastic Processes as Models for State Vector Reduction”, Journal of Physic. A 21: 2885–98.Google Scholar
Diósi, L. (1989), “Models for Universal Reduction of Macroscopic Quantum Fluctuations”, Physical Revie. A 40: 1165–74.CrossRefGoogle Scholar
Erber, T., Hammerling, P., Hockney, G., Porrati, M., and Putterman, S. (1989), “Resonance Fluorescence and Quantum Jumps in Single Atoms: Testing the Randomness of Quantum Mechanics”, Annals of Physic. 190: 254–309.CrossRefGoogle Scholar
Fleming, G. (1989), “Lorentz Invariant State Reduction, and Localization”, in PSA 1988, Fine, A. and Leplin, J. (eds.). East Lansing, Michigan: Philosophy of Science Association.Google Scholar
Ghirardi, G.C., Rimini, A., and Weber, T. (1986), “Unified Dynamics of Microscopic and Macroscopic Systems”, Physical Revie. D 34: 470–91.Google Scholar
Gisin, N. (1984), “Quantum Measurements and Stochastic Processes”, Physical Review Letter. 52: 1657–60.CrossRefGoogle Scholar
Gisin, N. (1989), “Stochastic Quantum Dynamics and Relativity”, Helvetica Physica Acta. 62: 363–71.Google Scholar
Itano, W.M., Bergquist, J.C., Hulet, R.G., and Wineland, D.J. (1987), “Radiative Decay Rates in Hg+ from Observations of Quantum Jumps in a Single Ion”, Physical Review Letter. 59: 2732–5.CrossRefGoogle Scholar
Károlyházy, F., Frenkel, A., and Lukdcs, B. (1986), “On the Possible Role of Gravity in the Reduction of the Wave Function”, in Quantum Concepts in Space and Time. Penrose, R. and Isham, C. (eds.). Oxford: Clarendon Press, pp. 109–28.Google Scholar
Nagourney, W, Sandberg, J., and Dehmelt, H. (1986), “Shelved Optical Electron Amplifier: Observation of Quantum Jumps”, Physical Review Letter. 56: 2797–9.CrossRefGoogle Scholar
Neumann, J.v. (1955), Mathematical Foundations of Quantum Mechanics. Princeton: Princeton University Press.Google Scholar
Pearle, P. (1985), “On the Time it Takes a State Vector to Reduce”, Journal of Statistical Physic. 41: 719–27.CrossRefGoogle Scholar
Pearle, P. (1989), “Combining Stochastic Dynamical State-Vector Reduction with Spontaneous Localization”, Physical Review . 39: 227–39.Google Scholar
Pearle, P.. (1990), “Toward a Relativistic Theory of Statevector Reductions”, in Sixty-Two Years of Uncertainty: Historical, Philosophical, and Physical Inquiries into the Foundations of Quantum Mechanics. Miller, A.I. (ed.). New York: Plenum Press, pp. 193–214.CrossRefGoogle Scholar
Pegg, D.T., Loudon, R., and Knight, P.L. (1986), “Correlations in Light Emitted by Three-Level Atoms”, Physical Review. 33: 4085–91.CrossRefGoogle Scholar
Penrose, R. (1986), “Gravity and State Vector Reduction”, in Quantum Concepts in Space and Time. Penrose, R. and Isham, C. (eds.). Oxford: Clarendon Press, pp. 129–46.Google Scholar
Porrati, M. and Putterman, S. (1989), “Coherent Intermittency in the Resonant Fluorescence of a Multilevel Atom”, Physical Review A. 3010–30.CrossRefGoogle Scholar
Sauter, T., Neuhauser, D., Blatt, R., and Toschek, P.E. (1986), “Observation of Quantum Jumps”, Physical Review Letter. 57: 1696–8.CrossRefGoogle Scholar
Shimony, A. (1989), “Search for a Worldview Which Can Accommodate Our Knowledge of Microphysics”, in Philosophical Consequences of Quantum Theory: Reflections on Bell’s Theorem. Cushing, J.T. and McMullin, E. (eds.). Notre Dame: University of Notre Dame Press, pp. 25–37.Google Scholar
Stein, H. (1984), “The Everett Interpretation of Quantum Mechanics: Many Worlds or None?”, Nous 18: 635–52.CrossRefGoogle Scholar
Wigner, E.P. (1971), “The Subject of Our Discussions”, in Foundations of Quantum Mechanics. d’Espagnat, B. (ed.). New York: Academic Press, pp. 1–19.Google Scholar