Quantum Faraday excitations in degenerate electron-ion plasma

Akbari-Moghanjoughi, M. and Eliasson, B. (2019) Quantum Faraday excitations in degenerate electron-ion plasma. Physica Scripta. ISSN 0031-8949 (In Press)

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    Abstract

    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 Schr\"{o}dinger equation (NLSE) which is used to investigate driven electrostatic ion quasi-particle excitations. The quantized frequency spectrum of these quasi-particle 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 electron-to-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 quasi-particles up to the topmost zero-frequency level solitary quasi-particle excitations (quasi-soliton level).