Evolution Law of Quantum Observables from Classical Hamiltonian in Non-Commutative Phase Space
Daniela Dragoman
Abstract
The evolution equations of quantum observables are derived from the classical Hamiltonian equations of motion with the only additional assumption that the phase space is non-commutative. The demonstration of the quantum evolution laws is quite general; it does not rely on any assumption on the operator nature of x and p and is independent of the quantum mechanical formalism.
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