Solution of the Master Equation for Quantum Brownian Motion Given by the Schrödinger Equation

R. Sinuvasan, Andronikos Paliathanasis, Richard M. Morris and Peter G. L. Leach
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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

Mathematics, 2016, vol. 5, issue 1, 1-7

Abstract: 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.

Keywords: quantum Brownian motion; master equation; group invariant transformations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
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