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Weyl ordering rule and new Lie bracket of quantum mechanics
Zoran Rakic, Slobodan Prvanovic
The product of quantum mechanics is defined as the ordinary multiplication followed by the application of superoperator that orders involved operators. The operator version of Pois…
The non-negativity of probabilities and the collapse of state
Slobodan Prvanovic
The dynamical equation of hybrid systems, being the combination of Schrödinger and Liouville equations, produces noncausal evolution when the initial state of interacting quantum a…
Theory of hybrid systems. II. The symmetrized product and redefined Lie bracket of quantum mechanics
S. Prvanovic, Z. Maric
The symmetrized product for quantum mechanical observables is defined. It is seen as consisting of the ordinary multiplication and the application of the superoperator that orders…
Theory of hybrid systems. I. The operator formulation of classical mechanics and semiclassical limit
S. Prvanovic, Z. Maric
The algebra of polynomials in operators that represent generalized coordinate and momentum and depend on the Planck constant is defined. The Planck constant is treated as the param…
An Operator Formulation of Classical Mechanics and Semiclassical Limit
S. Prvanovic, Z. Maric, Belgrade +1
The generalized h-dependent operator algebra is defined (). For h= h_o it becomes equivalent to the quantum mechanical algebra of observables and for h=0 it is eq…
Toward the Collapse of State
S. Prvanovic, Z. Maric, Belgrade +1
The basic concepts of classical mechanics are given in the operator form. Then, the hybrid systems approach, with the operator formulation of both quantum and classical sector, is…