Heat equation on phase space and the classical limit of quantum mechanical expectation values
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The expectation value of a quantum mechanical operator, taken in coherent states and suitably rescaled, is the solution of an initial value problem for the heat equation on phase space, in which ħ plays the role of time, and the classical observable is the distribution of temperature at ħ=0.
KeywordsNeural Network Statistical Physic Phase Space Complex System Nonlinear Dynamics
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