Hostname: page-component-76fb5796d-22dnz Total loading time: 0 Render date: 2024-04-27T22:17:05.826Z Has data issue: false hasContentIssue false
  • English
  • Français

Feynman integral and phase space probability

Published online by Cambridge University Press:  14 July 2016

J. G. Gilson
J. G. Gilson*
Affiliation:
Queen Mary College, London
Get access Rights & Permissions [Opens in a new window]

Abstract

The relation between “forward” and “backward” definitions of quantum velocity is discussed. A connection between the Feynman Integral and Wigner's phase space distributions which was noted in an earlier paper is explored further and some new and useful formulae are derived.

Type
Research Papers
Information
Journal of Applied Probability , Volume 5 , Issue 2 , August 1968 , pp. 375 - 386
Copyright
Copyright © Applied Probability Trust 1968 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Gilson, J. G. (1965) Functional viewpoint in quantum mechanics. Il Nuovo Cimento, Serie X, 40, 993.CrossRefGoogle Scholar
[2] Gilson, J. G. (1968) On stochastic theories of quantum mechanics. Proc. Camb. Phil. Soc. 63 (To appear).Google Scholar
[3] Gilson, J. G. (1968) Quantum probability weighted paths. (To appear).Google Scholar
[4] Bartlett, M. S. (1966) An Introduction to Stochastic Processes. Cambridge University Press.Google Scholar
[5] Feynman, R. P. (1948) Space-time approach to non-relativistic quantum mechanics. Rev. Modern Phys. 29, 367.Google Scholar
[6] Wigner, E. (1932) On the quantum correction for thermodynamic equilibrium. Phys. Rev. 40, 749.Google Scholar
[7] Moyal, J. E. Quantum mechanics as a statistical theory. Proc. Camb. Phil. Soc. 45, 99.Google Scholar
[8] Wiener, N. (1923) Differential space. J. Math. and Phys. 2, 131.Google Scholar
[9] Bartlett, M. S. and Moyal, J. E. The exact transition probabilities of quantum mechanical oscillators calculated by the phase-space method. Proc. Camb. Phil. Soc. 45, 545.CrossRefGoogle Scholar
[10] Gilson, J. G. Quantum wave functionals and some related topics. (To appear).Google Scholar