Symmetry analysis and algebraic structures of the Hu-Paz-Zhang Master Equation

Published 8 Jul 2015 in math-ph, math.AP, and math.MP | (1507.02146v1)

Abstract: We apply the Lie Theory of continuous groups to investigate the symmetries of the Hu-Paz-Zhang Master Equation which arises in the modelling of the interaction of a harmonic oscillator with a linear passive heat bath of oscillators. We examine the case in which the parameters of the equation are constant.

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