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On the Uniqueness of Quantum Equilibrium in Bohmian Mechanics

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Abstract

In Bohmian mechanics the distribution |ψ|2 is regarded as the equilibrium distribution. We consider its uniqueness, finding that it is the unique equivariant distribution that is also a local functional of the wave function ψ.

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References

  1. Valentini, A.: Phys. Lett. A 156, 5 (1991)

    Article  ADS  Google Scholar 

  2. Dürr, D., Goldstein, S., Zanghì, N.: J. Stat. Phys. 67, 843 (1992), quant-ph/0308039

    Article  MATH  Google Scholar 

  3. de Broglie, L.: In: Bordet, J. (ed.) Électrons et Photons: Rapports et Discussions du Cinquième Conseil de Physique, p. 105. Gauthier-Villars, Paris (1928), English translation: Bacciagaluppi, G., Valentini, A.: Quantum Theory at the Crossroads, Cambridge University Press, forthcoming and quant-ph/0609184

    Google Scholar 

  4. Dürr, D., Goldstein, S., Zanghì, N.: Found. Phys. 23, 721 (1993)

    Article  Google Scholar 

  5. Dürr, D., Goldstein, S., Zanghì, N.: In: Cushing, J.T., Fine, A., Goldstein, S. (eds.) Bohmian Mechanics and Quantum Theory: An Appraisal. Boston Studies in the Philosophy of Science, vol. 184, p. 21. Kluwer, Dordrecht (1996), quant-ph/9511016

    Google Scholar 

  6. Maudlin, T.: What could be objective about probabilities? In: Beisbart, C., Hartmann, S. (eds.) Probabilities in Physics, abbreviated version forthcoming in Stud. Hist. Philos. Mod. Phys.

  7. Bell, J.S.: In: Isham, C., Penrose, R., Sciama, D. (eds.) Quantum Gravity 2, p. 611. Clarendon, Oxford (1981), reprinted in Bell, J.S.: Speakable and Unspeakable in Quantum Mechanics. Cambridge, Cambridge University Press (1987)

    Google Scholar 

  8. Berndl, K., Dürr, D., Goldstein, S., Zanghì, N.: Commun. Math. Phys. 173, 647 (1995), quant-ph/9503013

    Article  MATH  ADS  Google Scholar 

  9. Goldstein, S.: Phys. Rev. E 60, 7578 (1999), quant-ph/9901005

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Departments of Mathematics and Physics, Rutgers, The State University of New Jersey, Hill Center, 110 Frelinghuysen Road, Piscataway, NJ, 08854-8019, USA

    S. Goldstein

  2. Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, ON, N2L 2Y5, Canada

    W. Struyve

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  1. S. Goldstein
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  2. W. Struyve
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Correspondence to S. Goldstein.

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Goldstein, S., Struyve, W. On the Uniqueness of Quantum Equilibrium in Bohmian Mechanics. J Stat Phys 128, 1197–1209 (2007). https://doi.org/10.1007/s10955-007-9354-5

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  • DOI: https://doi.org/10.1007/s10955-007-9354-5

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