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

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

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Veröffentlicht in:Mathematics (Basel) 2017-03, Vol.5 (1), p.1
Hauptverfasser: Sinuvasan, R., Paliathanasis, Andronikos, Morris, Richard, Leach, Peter
Format: Artikel
Sprache:eng
Schlagworte:
Food science
group invariant transformations
master equation
quantum Brownian motion
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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 Schrödinger Equation.
ISSN:2227-7390
2227-7390
DOI:10.3390/math5010001