Solution of the Master Equation for Quantum Brownian Motion given by the Schr\"{o}dinger Equation

R. Sinuvasan; A. Paliathanasis; R. M. Morris; P. G. L. Leach

doi:10.3390/math5010001

Solution of the Master Equation for Quantum Brownian Motion given by the Schr\"{o}dinger Equation

Mathematical Physics 2016-12-23 v1 Analysis of PDEs math.MP

Authors: R. Sinuvasan , A. Paliathanasis , R. M. Morris , P. G. L. Leach

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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 Schr\"{o}dinger Equation.

Keywords

quantum Brownian motion master equation Schrödinger equation group invariant transformation mathematical physics

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@article{arxiv.1612.04070,
  title  = {Solution of the Master Equation for Quantum Brownian Motion given by the Schr\"{o}dinger Equation},
  author = {R. Sinuvasan and A. Paliathanasis and R. M. Morris and P. G. L. Leach},
  journal= {arXiv preprint arXiv:1612.04070},
  year   = {2016}
}

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7 pages, to be published in Mathematics (MDPI)

Solution of the Master Equation for Quantum Brownian Motion given by the Schr\"{o}dinger Equation

Abstract

Keywords

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