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Semi-Classical Limit and Minimum Decoherence in the Conditional Probability Interpretation of Quantum Mechanics

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Abstract

The Conditional Probability Interpretation of Quantum Mechanics replaces the abstract notion of time used in standard Quantum Mechanics by the time that can be read off from a physical clock. The use of physical clocks leads to apparent non-unitary and decoherence. Here we show that a close approximation to standard Quantum Mechanics can be recovered from conditional Quantum Mechanics for semi-classical clocks, and we use these clocks to compute the minimum decoherence predicted by the Conditional Probability Interpretation.

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References

  1. Messiah, A.: Quantum Mechanics. North-Holland, Amsterdam (1962), Sect. VIII.13

    MATH  Google Scholar 

  2. Page, D.N., Wooters, W.K.: Phys. Rev. D 27, 2885 (1983)

    Article  ADS  Google Scholar 

  3. Gambini, R., Porto, R.A., Pullin, J.: New J. Phys. 6, 45 (2004)

    Article  ADS  Google Scholar 

  4. Gambini, R., Porto, R.A., Pullin, J.: Braz. J. Phys. 35 (2005)

  5. Kuchar, K.V.: In: Proceeding of the 4th Canadian Conference on General Relativity and Relativistic Astrophysics, pp. 211–314 (1992)

  6. Gambini, R., Porto, R.A., Pullin, J.: arXiv:gr-qc/0302064v1 (2003)

  7. Gambini, R., Porto, R.A., Pullin, J.: arXiv:gr-qc/0408050v1 (2004)

  8. Dolby, C.E.: arXiv:gr-qc/0406034v1 (2004)

  9. Gambini, R., Porto, R.A., Pullin, J., Torterolo, S.: arXiv:0809.4235v1 [gr-qc] (2008)

  10. Linblad, G.: Commun. Math. Phys. 48, 119 (1976)

    Article  ADS  Google Scholar 

  11. Isidro, J.M., Gonzalez-Santander, J.L., de Cordoba, P.F.: arXiv:0804.0169v2 [gr-qc] (2008)

  12. Gambini, R., Pullin, J.: Found. Phys. 37, 1074 (2007)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  13. Ng, Y.J., van Dam, H.: Ann. New York Acad. Sci. 775, 579 (1995)

    Article  ADS  Google Scholar 

  14. Gambini, R., Porto, R.A., Pullin, J.: Phys. Lett. A 372, 1213 (2008)

    Article  ADS  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Montana State University, Bozeman, MT, 59717, USA

    Vincent Corbin & Neil J. Cornish

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  1. Vincent Corbin
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  2. Neil J. Cornish
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Correspondence to Neil J. Cornish.

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Corbin, V., Cornish, N.J. Semi-Classical Limit and Minimum Decoherence in the Conditional Probability Interpretation of Quantum Mechanics. Found Phys 39, 474–485 (2009). https://doi.org/10.1007/s10701-009-9298-5

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  • DOI: https://doi.org/10.1007/s10701-009-9298-5

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