Skip to main content
SpringerLink
Log in

Dynamical interpretation for the quantum-measurement projection postulate

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

An apparatus model with discrete momentum space suitable for the exact solution of the problem is considered. The special Hamiltonian of its interaction with the object system under consideration is chosen. In this simple case it is easy to illustrate how difficulties in constructing the dynamical interpretation of selective collapse can be overcome without any limiting procedure. For this purpose one can apply either averaging with respect to a nonquantum parameter or reduce the algebra of joint-system operators (i.e., pass from an algebraA of operators to a subalgebraA 0). The latter procedure implies averaging with respect to apparatus quantum variables not belonging toA 0.

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

References

  • Araki, H. (1980). A remark on Machida-Namiki theory of measurement,Progress of Theoretical Physics,64, 719–730.

    ADS  MATH  MathSciNet  Google Scholar 

  • Belavkin, V. P. (1994). Nondemolition principle of quantum measurement theory,Foundations of Physics,24, 685–714.

    Article  MathSciNet  Google Scholar 

  • Belavkin, V. P. (1995). A dynamical theory of quantum measurement and spontaneous localization,Russian Journal of Mathematical Physics,3, 3–24.

    MathSciNet  Google Scholar 

  • Machida, S., and Namiki, H. (1980). Theory of measurement in quantum mechanics. Mechanism of reduction of wave packet I and II,Progress of Theoretical Physics,63, 1457–1473, 1833–1847.

    ADS  Google Scholar 

  • Stratonovich, R. L. (1995). On the dynamical interpretation for the collapse of the state during quantum measurement, quantum communications and measurement, inProceedings of a Workshop on Quantum Aspects of Optical Communications and Measurement, 10–16 July, Nottingham, 1994, Plenum Press, New York.

    Google Scholar 

  • Von Neumann, J. (1955).Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton, New Jersey.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics Department, University of Nottingham, NG7 2RD, United Kingdom

    R. L. Stratonovich & V. P. Belavkin

Authors
  1. R. L. Stratonovich
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. P. Belavkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

On leave of absence from Physics Department, Moscow State University, 119899 Moscow, Russia.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stratonovich, R.L., Belavkin, V.P. Dynamical interpretation for the quantum-measurement projection postulate. Int J Theor Phys 35, 2215–2228 (1996). https://doi.org/10.1007/BF02302442

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02302442

Keywords

Search

Navigation