Simple Wigner-Langevin equation
Andrey L. Sanin
A new dynamical equation is derived by substituting the Schrödinger-LangevinKostin equation into the definition for the Wigner function, it can be called the quantumclassical Wigner-Langevin equation. The proposed equation contains partial derivatives for
time and phase space variables of the Wigner function, its coefficients are spatial derivatives
of potentials that take into account friction, white noise and external influence. The transition
to the classical regime of motion is also discussed.
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