Foundations of Physics Letters

, Volume 5, Issue 3, pp 265–278 | Cite as

Wave-function collapse induced by thermal fluctuations of detector variables. statistical collapse of wave functions

  • Tsunehiro Kobayashi
Article

Abstract

We present a simple example where the wave-function collapse is realized by thermal fluctuations of detector variables. This mechanism for the wave-function collapse is essentially due to the indeterminacy of the initial internal-states of detectors by the thermal fluctuation. Two types of the collapse are shown: One is the mechanism of the collapse arising from the phase ambiguity of the initial detector state and another is that derived from the fluctuation of the number of particles in the detector actively working in single measurement process.

Key words

quantum measurement quantum theory wave-function collapse 

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References

  1. 1.
    J. von Neumann,Die mathematische Grundlagen der Quantenmechanik (Springer, Berlin, 1932).Google Scholar
  2. 2.
    T. Kobayashi and K. Ohmomo,Phys. Rev. A 41, 5798 (1990).Google Scholar
  3. 3.
    T. Kobayashi, inProceedings, Symposium on the Foundations of Modern Physics 1990, P. Lahti and P. Mittelstaedt, eds., p. 170.Google Scholar
  4. 4.
    T. Kobayashi, preprint, University of Tsukuba, UTHEP-209 (1990);Nuovo Cimento B (1992), in press.Google Scholar
  5. 5.
    T. Kobayashi, talk presented at theSecond International Wigner Symposium, Goslar, Germany, 1991; preprint, University of Tsukuba, UTHEP-220 (1991).Google Scholar
  6. 6.
    T. Kobayashi, preprint, University of Tsukuba, UTHEP-222 (1991).Google Scholar
  7. 7.
    S. Machida and M. Namiki,Prog. Theor. Phys. 63, 1457, 1833 (1980); M. Namiki,Found. Phys. 18, 29 (1988).Google Scholar
  8. 8.
    M. Namiki and S. Pascazio,Phys. Lett. 147A, 430 (1990);Phys. Rev. A44, 39 (1991).Google Scholar
  9. 9.
    K. Hepp,Helv. Phys. Acta 45, 237 (1972); S. Kudaka, S. Matsumoto, and K. Kakazu,Prog. Theor. Phys. 82, 665 (1989).Google Scholar
  10. 10.
    M. Namiki and S. Pascazio,Found. Phys. Lett. 4, 203 (1991).Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • Tsunehiro Kobayashi
    • 1
  1. 1.Institute of PhysicsUniversity of TsukubaIbarakiJapan

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