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Title
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Quantum Faraday excitations in degenerate
electron-ion plasma
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Type of Research
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Article
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Keywords
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quantum hydrodynamics, ion oscillations, Faraday waves
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Abstract
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A hydrodynamic two-fluid model encompassing inertialess electrons of arbitrary degree of
degeneracy and cold ions using the quasineutrality assumption are reduced to an effective
nonlinear Schrödinger equation (NLSE) which is used to investigate driven electrostatic plasmaphonon excitations. The quantized frequency spectrum of these plasma-phonon excitations in a
one-dimensional quasineutral electron-ion plasma confined in rectangular potential well is
calculated. The spectrum shows a quadratic energy level increase quite similar to that of a single
electron confined in a hard box, with much reduced level spacings proportional to the electronto-ion mass ratio. The parametrically driven NLSE is also used to study the quantum Faraday
excitations in both weakly and fully nonlinear regimes by employing the pseudo-potential
technique. The quantization criterion for fully nonlinear driven quantum Faraday excitations in
an arbitrary degenerate plasma confined in a hard box of length l is derived, and it is shown that
these excitations constitute a full frequency spectrum level starting with those of small
amplitude, high frequency sinusoidal plasma-phonon up to the topmost zero-frequency level
solitary plasma-phonon excitations (plasma-soliton level).
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Researchers
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Massoud Akbari-Moghanjoughi (First Researcher)، Bengt Eliasson (Second Researcher)
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