Abstract
A Bose type of classical Hamilton algebra, i.e., the algebra of the canonical formalism of classical mechanics, is represented on a linear space of functions of phase space variables. The symplectic metric of the phase space and possible algorithms of classical mechanics (which include the standard one) are derived. It is shown that to each of the classical algorithms there is a corresponding one in the phase space formulation of quantum mechanics.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Agarwal G S and Wolf E 1970aPhys. Rev. D2 2161
Agarwal G S and Wolf E 1970bPhys. Rev. D2 2187
Cohen L 1966J. Math. Phys. 7 781
Dokovic D Z 1962Belgrad. Universitet. Elektrotehnicki Fakultet. Publikacije. Ser. Matematica Fizika. no. 72, 7
Grigin E and Petersen A 1972Phys. Rev. D5 300
Grgin E and Petersen A 1976Commun. Math. Phys. 50 177
Groenewold H J 1946Physica 12 405
Mehta C L 1964J. Math. Phys. 5 677
Moyal J E 1949Proc. Cambridge Phil. Soc. 45 99
Sahoo D 1977Pramana 8 545
Simoni A, Sudarshan E C G and Zaccaria F 1971Nuovo Cimento B5 134
Sudarshan E C G and Mukunda N 1974Classical Dynamics: A Modern Perspective (New York: John Wiley)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sahoo, D. Classical mechanics in phase space revisited. Pramana - J. Phys. 10, 273–282 (1978). https://doi.org/10.1007/BF02872025
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02872025