Solution of the Master Equation for Quantum Brownian Motion Given by the Schrödinger Equation
R. Sinuvasan,
Andronikos Paliathanasis,
Richard M. Morris,
Peter G. L. Leach
Affiliations
R. Sinuvasan
Department of Mathematics, Pondicherry University, Kalapet Puducherry 605 014, India
Andronikos Paliathanasis
Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia 5090000, Chile
Richard M. Morris
Department of Mathematics and Institute of Systems Science, Research and Postgraduate Support, Durban University of Technology, PO Box 1334, Durban 4000, South Africa
Peter G. L. Leach
Department of Mathematics and Institute of Systems Science, Research and Postgraduate Support, Durban University of Technology, PO Box 1334, Durban 4000, South Africa
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 Schrödinger Equation.