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The Quantum Mechanics of Localizable Dynamical Systems
Phys. Rev. 78, 592 – Published 1 June, 1950
DOI: https://doi.org/10.1103/PhysRev.78.592
Abstract
Expressions for the operators in Dirac's general theory of quantum mechanics of localizable dynamical systems are explicitly constructed and their commutation laws directly worked out (§2). Conditions for the expectation values of dynamical variables or their densities to be independent of the parametrization of the surface are given and it is shown that of the two conjugate field variables in Weiss' theory, one is a parametrization-independent variable and the other is a parametrization-independent density (§3).
Finally it is shown that in Dirac's theory does not have any simple expression other than that given in Weiss' theory. This, together with the results described in the above paragraph, shows that for all practical purposes the two theories are equivalent (§5).
References (7)
- P. A. M. Dirac, Phys. Rev. 73, 1092 (1948)
Omitted endnote
- P. Weiss, Proc. Roy. Soc. A156, 192 (1936)
- T. S. Chang, Phys. Rev. 75, 967 (1949)
- T. S. Chang, Chinese J. Phys. 7, 265 (1949)
Omitted endnote
Omitted endnote