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

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

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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Bibliographische Detailangaben
Hauptverfasser:	Sinuvasan, R, Paliathanasis, A, Morris, R. M, Leach, P. G. L
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs Mathematics - Mathematical Physics Physics - Mathematical Physics
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Beschreibung
Zusammenfassung:	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.
DOI:	10.48550/arxiv.1612.04070