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Foundations of Physics

, Volume 18, Issue 3, pp 373–378 | Cite as

A quantum mechanical version of the paper by E. Schrödinger “Über die Umkehrung der Naturgesetze”

  • Otto Bergmann
Part V. Invited Papers Commemorating The Centenary Of The Birth Of Erwin Schrödinger
  • 106 Downloads

Abstract

The principal results of Schrödinger's paper are reviewed and a possible extension of his formalism for diffusion processes to general quantum mechanical processes is given. The formalism is not in accord with the general theory of transformation of quantum mechanics and violates the basic assumption of the unpredictable change of a system due to a measurement. Nevertheless, the formalism leads to a density operator which is constructed according to accepted quantum mechanical rules.

Keywords

Quantum Mechanic General Theory Diffusion Process Basic Assumption Mechanical Process 
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References

  1. 1.
    E. Schrödinger,Sitzungsber. Preuss. Akad. Wiss., Phys.-Math. Kl. 1931, pp. 412–422; see also Ref. 2.Google Scholar
  2. 2.
    Erwin Schrödinger,Gesammelte Abhandlungen, Band 1 (Verlag Österreichischen Akademie der Wissenschaften, Friedrich Vieweg & Sohn, Braunschweig/Wiesbaden/Wien, 1984).Google Scholar
  3. 3.
    Johann von Neumann,Mathematische Grundlagen der Quantenmechanik (Grundlehren der Mathematische Wissenschaften, Band XXXVIII) (Springer, Berlin, 1932), especially Chap. V.1.Google Scholar
  4. 4.
    New Techniques and Ideas in Quantum Measurement Theory, Daniel M. Greenberger, ed. Annals of the New York Academy of Sciences, Vol. 480 (1986).Google Scholar
  5. 5.
    Compare for instance the article by Willis E. Lamb, Jr. on p. 407 of Reference [4].Google Scholar
  6. 6.
    Y. Aharonov, P. G. Bergmann and J. L. Lebowitz,Phys. Rev. B 134, 1410–1416 (1964).Google Scholar
  7. 7.
    F. J. Belinfante,Measurement and Time Reversal in Objective Quantum Theory (Pergamon Press, Int. Ser. in Natural Phil. Vol. 75, 1975). Less important in this context is the book by the same authorA Survey of Hidden Variables Theories, (Pergamon, Press, 1973).Google Scholar
  8. 8.
    It is surprising that the article by Aharonov, Bergmann and Lebowitz is cited only once in the collection [4], viz. in the paper by Robert B. Griffiths on p. 512. It appears that only a marginal interest in a time-symmetric formulation is shown in the contemporary discussions on measurement and interpretations of quantum mechanics.Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • Otto Bergmann
    • 1
  1. 1.Department of PhysicsThe George Washington UniversityWashington, D.C.

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