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On the integrability of the wave propagator arising from the Liouville-von Neumann equation (1909.11986v3)
Published 26 Sep 2019 in math.AP
Abstract: The Liouville-von Neumann equation describes the change in the density matrix with time. Interestingly, this equation was recently regarded as a wave equation for wave functions but not a equation for density functions. This setting leads to an extended form of the Schr\"odinger wave equation governing the motion of a quantum particle. In this paper we obtain the integrability of the wave propagator arising from the Liouville-von Neumann equation in this setting.
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