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

doi:10.3390/math5010001

Mathematics (Dec 2016)

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

DOI: https://doi.org/10.3390/math5010001
Journal volume & issue: Vol. 5, no. 1
p. 1

Abstract

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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.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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