Physics
Scientific paper
Apr 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..899..708p&link_type=abstract
SIXTH INTERNATIONAL CONFERENCE OF THE BALKAN PHYSICAL UNION. AIP Conference Proceedings, Volume 899, pp. 708-708 (2007).
Physics
Quantum Mechanics
Scientific paper
The algebraic product of quantum mechanics is defined as the ordinary multiplication followed by the application of superoperator that orders the involved operators, with the symmetrization of operators that coincides with the Weyl ordering rule. Using this product, the algebra of observables is introduced over the operators of coordinate and momentum and the identity operator. The operator version of Poisson bracket is introduced as the Lie bracket of quantum mechanics. It can be demonstrated that this bracket can substitute commutator in the von Neumann equation without affecting the nature of evolution of quantum mechanical system. All these result in a new approach to quantum mechanics and lead to the proposition of the obstruction free quantization.
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