Skip to main content
SpringerLink
Log in

How Mensky’s Continuous Measurement can Emerge from GRW on Larger Time Scales

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

In this paper we will show how “weighted path integral” proposed by Mensky and Kent can emerge out of Ghirardi Rimini Weber (GRW) model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Notes

  1. Some versions of GRW model subject just one particle to a hit instead of the entire configuration of n particles. In those cases, we would have a single \(\delta \)-function in \(\mathbb {R}^3\) instead of superposition of n such \(\delta \)-function; but this won’t affect the ultimate conclusion that the reality is in \(\mathbb {R}^3\). In any case, as far as this paper is concerned, our assumption is that we subject a configuration of n-particles to simultaneous hit.

  2. This argument has also been made in Section 4 of [7], where we were referring to the previous version of the current paper (arXiv:1305.7516, version 1). I chose to reiterate it in this paper since this is really the bridge between the two papers, equally relevent to both of them.

References

  1. Mensky, M.B.: Quantum continuous measurements, dynamical role of information and restricted path integrals. In: Proceedings TH2002 (International Conference on Theoretical Physics) Supplement, Birkhauser. arXiv:quant-ph/0212112 (2003)

  2. Mensky, M.B.: Quantum Measurement and Decoherence. Kluwer Academic Publishers, Dordrecht (2000)

    Book  MATH  Google Scholar 

  3. Kent, A.: Path integrals and reality. arXiv:1305.6565

  4. Ghirardi, G.C., Rimini, A., Weber, T.: A model for a unied quantum description of macroscopic and microscopic systems. In: Accardi, L., et al. (eds.) Quantum Probability and Applications. Springer, Berlin (1985)

    Google Scholar 

  5. Ghirardi, G.C., Rimini, A., Weber, T.: Unied dynamics for microscopic and macroscopic systems. Phys. Rev. D 34, 470 (1986)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. Ghirardi, G.C., Grassi, R., Benatti, F.: Describing the macroscopic world: closing the circle within the dynamical reduction program. Found. Phys. 25, 5 (1955). This is the basic paper in which the interpretation has been presented and discussed for the first time

    Article  ADS  MathSciNet  MATH  Google Scholar 

  7. Sverdlov, R., Bombelli, L.: Link between quantum measurement and the i\(\epsilon \) term in the quantum field theory propagator. Phys. Rev. D 90, 125020 (2014)

    Article  ADS  Google Scholar 

  8. Sverdlov, R.: Expressing QFT in terms of QM with single extra dimension and classical hidden variable field. arXiv:1309.3287

  9. Bedingham, D., Drr, D., Ghirardi, G.C., Goldstein, S., Zangh, N.: Matter density and relativistic models of wave function: collapse. J. Stat. Phys. 154, 623–631 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  10. Tumulka, R.: Collapse and relativity. arXiv:quant-ph/0602208

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Mississippi, Oxford, MS, USA

    Roman Sverdlov

Authors
  1. Roman Sverdlov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Roman Sverdlov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sverdlov, R. How Mensky’s Continuous Measurement can Emerge from GRW on Larger Time Scales. Found Phys 46, 825–835 (2016). https://doi.org/10.1007/s10701-016-0004-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10701-016-0004-0

Keywords

Search

Navigation