Evolution Law of Quantum Observables from Classical Hamiltonian in Non-Commutative Phase Space

Details Evolution Law of Quantum Observables from Classical Hamiltonian in Non-Commutative Phase Space Evolution Law of Quantum Observables from Classical Hamiltonian in Non-Commutative Phase Space

2006-04-11

arxiv.org/abs/quant-ph/0604076v1

Physics

Quantum Physics

10 pages, no figures

Scientific paper

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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