Discover
/
Article

An operational interpretation of nonrelativistic quantum mechanics

APR 01, 1969
Idealized experiments show that a physical measurement involves three stages: initial state preparation, perturbation and examination for the probability that a particular final state is occupied.
Willis E. Lamb

WHAT IS QUANTUM MECHANICS? A remarkable feature of the 1968 conference of Nobel prize winners in physics at Lindau is that it was possible for me to ask such a question in the presence of two of the founders of quantum mechanics, Werner Heisenberg and P.A.M. Dirac, more than 30 years after the discovery, in a lecture attended by 400 students who had recently begun their study of the subject. Several answers to the question are possible. The only easy one is that quantum mechanics is a discipline that provides a wonderful set of rules for calculating physical properties of matter. For such simple systems as hydrogen and helium atoms the calculated energy levels agree with experiment to fantastic accuracy. In more complicated cases the computations are difficult and the accuracy is lower, but it is reasonable to believe, in principle at least, that the theory would be adequate if only the calculational problems could be overcome.

This article is only available in PDF format

References

  1. 1. W. Heisenberg, Physical Principles of the Quantum Theory, University of Chicago Press (1930), p. 21.

  2. 2. W. Pauli, “The General Principles of Wave Mechanics,” in Handbuch der Physik, vol. 24/1, Springer, Berlin (1933), pp. 163–164.

  3. 3. E. Merzbacher, Quantum Mechanics Wiley, New York (1961), p. 158.

  4. 4. J. von Neumann, Nachr. Ges. Wiss. Göttingen, p. 1 (1927);
    p. 245 (1927);
    p. 273 (1927).

  5. 5. L. D. Landau, Zeits. für Physik 45, 430 (1927).

  6. 6. P. A. M. Dirac, Proc. Camb. Phil. Soc. 25, 62 (1929).https://doi.org/PCPSA4

  7. 7. P. A. M. Dirac, Quantum Mechanics, 4th ed., Oxford University Press (1958), p. 37.

  8. 8. Op. cit. ref. 2, pp. 164–166.

  9. 9. Op. cit. ref. 2, pp. 143–154.

  10. 10. D. Bohm, Quantum Theory, Prentice‐Hall, New York (1951), chap. 22.

  11. 11. K. Gottfried, Quantum Mechanics, vol. 1, W. A. Benjamin, Inc., New York (1966), chap. 4.

  12. 12. Op. cit. ref. 1, p. 32.

  13. 13. N. Bohr, L. Rosenfeld, Det. Kgl. Dansk. Vid. Selskab 12, 8 (1933).

  14. 14. H. P. Robertson, Phys. Rev. 35, 667A (1930).https://doi.org/PHRVAO

  15. 15. E. Schrödinger, Sitzungsber. preuss. Akad. Wiss, p. 296 (1930).

More about the Authors

Willis E. Lamb. Yale.

Related content
/
Article
Figuring out how to communicate with the public can be overwhelming. Here’s some advice for getting started.
/
Article
Amid growing investment in planetary-scale climate intervention strategies that alter sunlight reflection, global communities deserve inclusive and accountable oversight of research.
/
Article
Although motivated by the fundamental exploration of the weirdness of the quantum world, the prizewinning experiments have led to a promising branch of quantum computing technology.
/
Article
As conventional lithium-ion battery technology approaches its theoretical limits, researchers are studying alternative architectures with solid electrolytes.
This Content Appeared In
pt-cover_1969_04.jpeg

Volume 22, Number 4

Get PT in your inbox

pt_newsletter_card_blue.png
PT The Week in Physics

A collection of PT's content from the previous week delivered every Monday.

pt_newsletter_card_darkblue.png
PT New Issue Alert

Be notified about the new issue with links to highlights and the full TOC.

pt_newsletter_card_pink.png
PT Webinars & White Papers

The latest webinars, white papers and other informational resources.

By signing up you agree to allow AIP to send you email newsletters. You further agree to our privacy policy and terms of service.