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Quasiprobability density diffusion equations for the quantum Brownian motion in a potential

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Figure

Figure I.I. The classical dynamics of a collection of N particles where N is
Figure II.I. Trajectory of a Brownian particle.
Figure II.II Single well potential function as the simplest example of
Figure IV.I The distribution (S2,  for ( )S0.5′ =ξ2′ =σϑW1+), and
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