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

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

arxiv: 1612.04070 · v1 · pith:DSIYIDDXnew · submitted 2016-12-13 · 🧮 math-ph · math.AP· math.MP

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 This is my paper

classification 🧮 math-ph math.APmath.MP

keywords equationmasterbrowniandingergivenmotionquantumschr

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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 Schr\"{o}dinger Equation.

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

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