Skip to main content
SpringerLink
Log in

The information gain by localizing a particle

Увеличение информации путем локализации частицы

  • Published:
Acta Physica Academiae Scientiarum Hungaricae

Abstract

The paper is dealing with the application of information theory in quantum physics by using the mathematical term-information gain, which does not diverge for the continuous probability distribution. It is shown that the information gain by localizing a particle is connected with its energy change. An equation for the wave function, which maximalizes the effectiveness of information gain about the coordinate of a particle with respect to its energy change is given.

Резюме

В работе рассматривается вопрос применения теории информации в квантовой физике с использованием математического терм-информационного увеличения, которое не расходится для непрерывного распределения вероятности. Показывается, что увеличение информации путем локализации частицы связано с изменением ее энергии. Дается уравнение для волновой функции, которое доводит до максимума эффективность увеличения информации по координате частицы относительно изменения ее энергии.

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

  1. C. E. Shannon, A Mathematical Theory of Communication BSTJ27, 379, 623, 1948.

    MathSciNet  Google Scholar 

  2. C. E. Shannon andW. Weaver, The Mathematical Theory of Communication, Univ. of Illinois Press, Urbana, 1949.

    MATH  Google Scholar 

  3. A. J. Chintschin, Der Begriff der Entropie in der Wahrscheinlichkeitsrechnung. Arbeiten zur Informationsttheorie I. VEB Deutscher Verlag d. Wissenschaften, Berlin, 1957.

    Google Scholar 

  4. A. Katz, Principles of statistical mechanics. The information theory approach. Preprint 1965.

  5. A. Rényi Wahrscheinlichkeitsrechnung, VEB Deutscher Verlag d. Wissenschaften, Berlin, p. 482, 1962.

    MATH  Google Scholar 

  6. E. T. Jaynes, Phys. Rev.,106, 620, 1957.

    Article  ADS  MathSciNet  Google Scholar 

  7. E. T. Jaynes, Phys. Rev.,108, 108, 1957.

    Article  MathSciNet  Google Scholar 

  8. L. Brillouin, J. of Applied Physics,24, 1152, 1953.

    Article  MATH  ADS  Google Scholar 

  9. V. Majernik, Acta Physica Austriaca,25, 243, 1967.

    Google Scholar 

Download references

Author information

Author notes

  1. V. Majernik

    Present address: Institut für Theoretische Physik der Universität Wien, Boltzmann-gasse 5, Wien IX, Austria

Authors and Affiliations

  1. Institute of Physics, Slovak Academy of Sciences, Bratislava, ČSSR

    V. Majernik

Authors
  1. V. Majernik
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Majernik, V. The information gain by localizing a particle. Acta Physica 25, 331–340 (1968). https://doi.org/10.1007/BF03157156

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03157156

Keywords

Search

Navigation