N. Chanana et al., CLASSICAL LIMIT OF QUANTUM BROWNIAN PROBABILITY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(5), 1996, pp. 5477-5479
We propose a Maxwellian-type initial density matrix for a quantum part
icle placed in an Ohmic environment. The resulting positional Brownian
variance is analytically separated into a classical contribution of C
handrasekhar, and a quantum correction term depending upon (h) over ba
r and the input width.