Skip to main content
Log in

Modified Busch-Type Measurements and the Universal Conservation Laws

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

P. Busch has formulated a particular measurement process in order to show that predictable position measurements are impossible in general. Here we apply his formulation to studying the characteristics of various quantum measurements under the limitations which are imposed by the universal conservation laws and prove some theorems related to Busch's theorem. A simple approximate model measuring momentum is analyzed to investigate the roles of energy and momentum conservation. The results reveal the importance of the role of Galilei's principle of relativity.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. J. von Neumann, Die Mathematische Grundlagen der Quantenmechanik (Springer, Berlin, 1932).

    Google Scholar 

  2. E. P. Wigner, Z. Phys. 131, 101 (1952); Am. J. Phys. 31, 6 (1936).

    Google Scholar 

  3. H. Araki and M. M. Yanase, Phys. Rev. 120, 622 (1960).

    Google Scholar 

  4. M. Ozawa, Phys. Rev. Lett. 67, 1956 (1991); J. Math. Phys. 25, 79 (1984).

    Google Scholar 

  5. K. Kakazu, S. Kudaka, and S. Pascazio, Phys. Lett. A 173, 92 (1993).

    Google Scholar 

  6. N. Bohr, Atomic Physics and Human Knowledge (Wiley, New York, 1958).

    Google Scholar 

  7. S. Kudaka and K. Kakazu, Prog. Theor. Phys. 87, 61 (1992).

    Google Scholar 

  8. P. Busch, J. Phys. A Math. Gen. 18, 3351 (1985).

    Google Scholar 

  9. W. Pauli, Die Allgemeinen Prinzipien der Wellenmechanik, Handbuch der Physik, Bd. XXIV, Teil 1 (Springer, Berlin, 1933).

    Google Scholar 

  10. M. M. Yanase, Phys. Rev. 123, 66 (1961).

    Google Scholar 

  11. E. P. Wigner, in Quantum Theory and Measurement, J. A. Wheeler and W. H. Zurek, eds. (Princeton, NJ, 1983).

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kudaka, S. Modified Busch-Type Measurements and the Universal Conservation Laws. Foundations of Physics 29, 1371–1388 (1999). https://doi.org/10.1023/A:1018857125698

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1018857125698

Keywords

Navigation