Stochastic jump processes in the phase space representation of quantum mechanics
Thus, we have shown that the probabilistic interpretation of Feynman integral (  ,  ) can be applied to describe the evolution of some classes of observables in a quantum phase space. Formula (5) can be regarded as equivalent to a Feynman integral for this problem. We could have imagined that the stochastic character was specific to the quantum nature of the objects under consideration. However, as it results from the last paragraph, a similar description is also valid for a classical system with a sufficiently regular potential.
KeywordsPhase Space Classical Limit Probabilistic Interpretation Bounded Continuous Function Quantum Nature
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