2011
DOI: 10.1103/physrevb.84.245401
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Quantum hydrodynamics approach to the formation of waves in polarized two-dimensional systems of charged and neutral particles

Abstract: In this paper we explicate a method of quantum hydrodynamics (QHD) for the study of the quantum evolution of a system of polarized particles. Though we focused primarily on the two-dimension physical systems, the method is valid for three-dimension and one-dimension systems too. The presented method is based upon the Schrödinger equation. Fundamental QHD equations for charged and neutral particles were derived from the many-particle microscopic Schrödinger equation. The fact that particles possess the electric… Show more

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Cited by 66 publications
(122 citation statements)
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“…Method of derivation is described in Refs. [2], [8], [25], [27], [57]. Presenting the QHD equations below, we give some tips for their derivation as well.…”
Section: Background Of the Modelmentioning
confidence: 99%
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“…Method of derivation is described in Refs. [2], [8], [25], [27], [57]. Presenting the QHD equations below, we give some tips for their derivation as well.…”
Section: Background Of the Modelmentioning
confidence: 99%
“…The method of many-particle quantum hydrodynamics suggested by Kuz'menkov et al 1999-2001 [2], [25] differs from the single particle one by the fair treating of the many-particle quantum dynamics. That opens a lot of possibilities for consideration of different physical systems (see for instance [27] and [57]). This paper is organized as follows.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Different long-range interactions have been also considered in terms of the many-particle quantum hydrodynamics [26], [27], [31], [34], including the electric dipole [25], [27], [34], [35] and magnetic dipole (the spin-spin) [26] interactions.…”
Section: Modelmentioning
confidence: 99%
“…The hydrodynamic model including the spin degree of freedom and the electromagnetic field had been discussed in [18]. The quantum hydrodynamics for the research of many-particles systems had been developed in [3], [19], [20].…”
Section: Introductionmentioning
confidence: 99%