Gauge Invariant Quantization of Dissipative Systems of Charged Particles in Extended Phase Space

Details Gauge Invariant Quantization of Dissipative Systems of Charged Particles in Extended Phase Space Gauge Invariant Quantization of Dissipative Systems of Charged Particles in Extended Phase Space

2005-11-14

arxiv.org/abs/quant-ph/0511124v1

Physics

Quantum Physics

14 pages

Scientific paper

Recently, it is shown that the extended phase space formulation of quantum mechanics is a suitable technique for studying the quantum dissipative systems. Here, as a further application of this formalism, we consider a dissipative system of charged particles interacting with an external time dependent electric field. Such a system has been investigated by Buch and Denman, and two distinct solutions with completely different structure have been obtained for Schr\"odinger's equation in two different gauges. However, by generalizing the gauge transformations to the phase space and using the extended phase space technique to study the same system, we demonstrate how both gauges lead to the same conductivity, suggesting the recovery of gauge invariance for this physical quantity within the extended phase space approach.

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