QUANTUM-MECHANICS AS A GENERALIZATION OF NAMBU DYNAMICS TO THE WEYL-WIGNER FORMALISM (REPRINTED FROM PHYSICS-LETTERS-A, VOL 158, PG 453, 1991)

Authors
BIALYNICKIBIRULA I MORRISON PJ
Citation
I. Bialynickibirula et Pj. Morrison, QUANTUM-MECHANICS AS A GENERALIZATION OF NAMBU DYNAMICS TO THE WEYL-WIGNER FORMALISM (REPRINTED FROM PHYSICS-LETTERS-A, VOL 158, PG 453, 1991), Zeitschrift fur Naturforschung. A, A journal of physical sciences, 52(1-2), 1997, pp. 9-12
Citations number
17
Categorie Soggetti
Chemistry Physical",Physics
Journal title
Zeitschrift fur Naturforschung. A, A journal of physical sciences → ACNP
ISSN journal
09320784
Volume
52
Issue
1-2
Year of publication
1997
Pages
9 - 12
Database
ISI
SICI code
0932-0784(1997)52:1-2<9:QAAGON>2.0.ZU;2-#
Abstract
It is shown that Nambu dynamics can be generalized to any number of di mensions by replacing the O (3) algebra, a prominent feature of Nambu' s formulation, by an arbitrary Lie algebra. For the infinite dimension al algebra of rotations in phase space one obtains quantum mechanics i n the Weyl-Wigner representation from the generalized Nambu dynamics. Also, this formulation can be cast into a canonical Hamiltonian form b y a natural choice of canonically conjugate variables.