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

Author

Listed:
  • R. Sinuvasan

    (Department of Mathematics, Pondicherry University, Kalapet Puducherry 605 014, India
    These authors contributed equally to this work.)

  • Andronikos Paliathanasis

    (Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia 5090000, Chile
    Institute of Systems Science, Durban University of Technology, PO Box 1334, Durban 4000, South Africa
    These authors contributed equally to this work.)

  • 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
    These authors contributed equally to this work.)

  • 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
    School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa
    These authors contributed equally to this work.)

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.

Suggested Citation

  • R. Sinuvasan & Andronikos Paliathanasis & Richard M. Morris & Peter G. L. Leach, 2016. "Solution of the Master Equation for Quantum Brownian Motion Given by the Schrödinger Equation," Mathematics, MDPI, vol. 5(1), pages 1-7, December.
    • Handle: RePEc:gam:jmathe:v:5:y:2016:i:1:p:1-:d:85889
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