Skip to main content
Log in

One particle as a quantum detector

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

The possibility that one particle can act as a quantum detector is investigated. If the states of the particle after an interaction with an object system are described by coherent states, then the particle can play the role of a detector under certain conditions; these conditions depend on the object system. The statistical operator of the total system (one-particle detector+object system) approaches and becomes equivalent to its mixed-state part with respect to almost all observables.

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. See for example,H. S. Green:Nuovo Cimento,9, 880 (1958);A. Daneri, A. Loinger andG. M. Prosperi:Nucl. Phys.,33, 297 (1962);K. Hepp:Helv. Phys. Acta,45, 237 (1972);S. Machida andM. Namiki:Prog. Theor. Phys.,63, 1457, 1833 (1980);W. H. Zurek:Phys. Rev. D.,24, 1516 (1981);26, 1862 (1982);M. Cini:Nuovo Cimento B,73, 27 (1983);Y. Toyozawa:J. Phys. Soc. Jpn.,53, 3335 (1984);E. Joos andH. D. Zeh:Z. Phys. B,59, 223 (1985);G. C. Ghirardi, A. Rimini andT. Weber:Phys. Rev. D.,34, 470 (1986);36, 3287 (1987);R. Fukuda:Phys. Rev. A.,35, 8 (1987);36, 3023 (1987);Prog. Theor. Phys.,81, 34 (1989); inProceedings of the III International Symposium on Foundations of Quantum Mechanics, edited byS. Kobayashi et al. (Physical Society of Japan, Tokyo, 1990), p. 124;Z. Maki:Prog. Theor. Phys.,79, 313 (1988);82, 638 (1989);N. G. van Kampen: inProceedings of the III International Symposium on Foundations of Quantum Mechanics, edited byS. Kobayashi et al. (Physical Society of Japan, Tokyo, 1990), p. 107;A. J. Leggett: inProceedings of the I International Symposium on Foundations of Quantum Mechanics, edited byS. Kamefuchi et al. (Physical Society of Japan, Tokyo, 1984), p. 74; inProceedings of the II International Symposium on Foundations of Quantum Mechanics, edited byM. Namiki et al. (Physical Society of Japan, Tokyo, 1987), p. 287.

    Article  Google Scholar 

  2. S. Kudaka, S. Matsumoto andK. Kakazu:Prog. Theor. Phys.,82, 665 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  3. K. Kakazu:Prog. Theor. Phys.,84, 195 (1990).

    Article  ADS  Google Scholar 

  4. K. Kakazu andS. Matsumoto:Phys. Rev. A,42, 5093 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  5. K. Kakazu:Nuovo Cimento B, to be published.

  6. S. Kudaka andS Matsumoto: preprint DPUR-43 (1990).

  7. L. G. Yaffe:Rev. Mod. Phys.,54, 407 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  8. J. R. Klauder:J. Math. Phys.,4 1055, 1058 (1963);5, 177 (1964);A. O. Barut andL. Girardello:Commun. Math. Phys.,21, 41 (1971);A. M. Perelomov:Commun. Math. Phys.,26, 222 (1972);44, 197 (1975);Generalized Coherent States and Their Applications (Springer-Verlag, Berlin, 1986);R. Gilmore:Ann. Phys.,74, 391 (1972);E. H. Liep:Commun. Math. Phys.,31, 327 (1973);F. A. Berezin:Commun. Math. Phys.,63, 131 (1978);B. Simon:Commun. Math. Phys.,71, 247 (1980).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. R. J. Glauber:Phys. Rev.,131, 2766 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  10. J. M. Jauch:Helv. Phys. Acta,37, 293 (1964).

    MathSciNet  MATH  Google Scholar 

  11. J. von Neumann:Die Mathematische Grundelagen der Quantenmechanik (Springer-Verlag), Berlin, 1932);Z. Maki:Prog. Theor. Phys.,82, 638 (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The author of this paper has agreed to not receive the proofs for correction.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kakazu, K. One particle as a quantum detector. Nuov Cim B 107, 503–512 (1992). https://doi.org/10.1007/BF02723627

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02723627

Keyword

Navigation