dorsal/arxiv
View SchemaGauge Invariant Quantization of Dissipative Systems of Charged Particles in Extended Phase Space
| Authors | S. Khademi, S. Nasiri |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511124 |
| URL | https://arxiv.org/abs/quant-ph/0511124 |
Abstract
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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"date_created": "2026-03-02T18:02:20.633000Z",
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"abstract": "Recently, it is shown that the extended phase space formulation of quantum\nmechanics is a suitable technique for studying the quantum dissipative systems.\nHere, as a further application of this formalism, we consider a dissipative\nsystem of charged particles interacting with an external time dependent\nelectric field. Such a system has been investigated by Buch and Denman, and two\ndistinct solutions with completely different structure have been obtained for\nSchr\\\"odinger\u0027s equation in two different gauges. However, by generalizing the\ngauge transformations to the phase space and using the extended phase space\ntechnique to study the same system, we demonstrate how both gauges lead to the\nsame conductivity, suggesting the recovery of gauge invariance for this\nphysical quantity within the extended phase space approach.",
"arxiv_id": "quant-ph/0511124",
"authors": [
"S. Khademi",
"S. Nasiri"
],
"categories": [
"quant-ph"
],
"title": "Gauge Invariant Quantization of Dissipative Systems of Charged Particles in Extended Phase Space",
"url": "https://arxiv.org/abs/quant-ph/0511124"
},
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