Abstract
We study here the properties of some quantum mechanical wave functions, which, in contrast to the regular quantum mechanical wave functions, can be predetermined with certainty (probability 1) by performing dense measurements (or continuous observations). These specific “certain” states are the junction points through which pass all the diverse paths that can proceed between each two such neighboring “sure” points. When we compare the properties of these points to the properties of the well-known universal wave functions of Everett we find a strong similarity between these two apparently uncorrelated entities, and in this way find the same similarity between the Feynman path integrals and Everett's universal wave functions.
Similar content being viewed by others
REFERENCES
R. P. Feynman, Rev. Mod. Phys. 20, 367, 1948. See also R. P. Feynman and A. R. Hibbs, in Quantum Mechanics and Path Integrals(McGraw-Hill, New York, 1965).
Hugh Everett, Rev. Mod. Phys. 29, 454, 1957.
Y. Aharonov and M. Vardi, Phys. Rev. D 21, 2235, 1980.
Leonard I. Schiff, Quantum Mechanics, 3rd edn. (McGraw-Hill, New York, 1968).
J. Von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, 1955).
D. Bar, Found. Phys. Lett. 10, 1, 99, 1997. `
David Bohm and J. Bub, Rev. Mod. Phys. 38, 453, 1966.
Rights and permissions
About this article
Cite this article
Bar, D. The Feynman Path Integrals and Everett's Universal Wave Function. Foundations of Physics 28, 1383–1391 (1998). https://doi.org/10.1023/A:1018883028094
Issue Date:
DOI: https://doi.org/10.1023/A:1018883028094