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.

DOI: 10.1063/1.3035523

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.

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References

1. W. Heisenberg, Physical Principles of the Quantum Theory, University of Chicago Press (1930), p. 21.
2. W. Pauli, “The General Principles of Wave Mechanics,” in Handbuch der Physik, vol. 24/1, Springer, Berlin (1933), pp. 163–164.
3. E. Merzbacher, Quantum Mechanics Wiley, New York (1961), p. 158.
4. J. von Neumann, Nachr. Ges. Wiss. Göttingen, p. 1 (1927);
p. 245 (1927);
p. 273 (1927).
5. L. D. Landau, Zeits. für Physik 45, 430 (1927).
6. P. A. M. Dirac, Proc. Camb. Phil. Soc. 25, 62 (1929).https://doi.org/PCPSA4
7. P. A. M. Dirac, Quantum Mechanics, 4th ed., Oxford University Press (1958), p. 37.
8. Op. cit. ref. 2, pp. 164–166.
9. Op. cit. ref. 2, pp. 143–154.
10. D. Bohm, Quantum Theory, Prentice‐Hall, New York (1951), chap. 22.
11. K. Gottfried, Quantum Mechanics, vol. 1, W. A. Benjamin, Inc., New York (1966), chap. 4.
12. Op. cit. ref. 1, p. 32.
13. N. Bohr, L. Rosenfeld, Det. Kgl. Dansk. Vid. Selskab 12, 8 (1933).
14. H. P. Robertson, Phys. Rev. 35, 667A (1930).https://doi.org/PHRVAO
15. E. Schrödinger, Sitzungsber. preuss. Akad. Wiss, p. 296 (1930).

More about the authors

Willis E. Lamb, Yale.