Solution of the Master Equation for Quantum Brownian Motion given by the   Schr\"{o}dinger Equation
  We consider the master equation of quantum Brownian motion and with the application of the group invariant transformation we show that there exists a surface on which the solution of the master equation is given by an autonomous one-dimensional Schr\"{o}dinger Equation. 
R. Sinuvasan, A. Paliathanasis, R.M. Morris and P.G.L. Leach
math-ph math.AP math.MP