Path Integrals, Asymptotics, and Singular Perturbations
In this paper we evaluate several Feynman path integrals asymptotically with respect to various parameters in order to gain mathematical insight into the asymptotic evaluation of function space integr...
In this paper we evaluate several Feynman path integrals asymptotically with respect to various parameters in order to gain mathematical insight into the asymptotic evaluation of function space integr...
Noncommutative Probability on von Neumann Algebras
We generalize ordinary probability theory to those von Neumann algebras , for which Dye's generalized version of the Radon-Nikodym theorem holds. This includes the classical case in which is an Abeli...
We generalize ordinary probability theory to those von Neumann algebras , for which Dye's generalized version of the Radon-Nikodym theorem holds. This includes the classical case in which is an Abeli...
Generalized Mechanics
J. Math. Phys. 13, 796 (1972); doi:10.1063/1.1666053
Issue Date: May 1972
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The quantization scheme for generalized Hamiltonians recently proposed by Hayes is shown to be inconsistent. The theory of constraints developed by Dirac is used and leads to a consistent theory.
©1972 The American Institute of Physics
| History: | Received 29 April 1970; revised 10 December 1970 |
| Permalink: |
http://link.aip.org/link/?JMAPAQ/13/796/1 |
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REFERENCES (5)
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- See, for example, M. Borneas,
Phys. Rev. 186, 1299 (1969) , and references contained therein. - C. F. Hayes, J. Math. Phys. 10, 1555 (1969).
- P. A. M. Dirac,
Can. J. Math. 2, 129 (1950) ; - E. T. Whittaker, Analytical Dynamics (Cambridge U.P., Cambridge, 1937), p. 265.
- This form of the Hamiltonian is unique. The ambiguities demonstrated by C. F. Hayes and J. M. Jankowski [
Nuovo Cimento 58, 494 (1968) ] arise because they make transformations on the Hamiltonian which are not canonical.
