Abstract
The propagation of the TE-surface waves on a semibounded quantum plasma is investigated by using the system of generalized quantum hydrodynamic (QHD) model and Maxwell's equations. The dispersion relations for these surface waves on quantum electron plasma in the presence of external magnetic field which is parallel to the wave propagation are derived. The perturbation of electron density and the electric fields of the TE-surface waves are also obtained. However, it was found that quantum effects (Bohm potential and statistical) have no remarkable action on the electric and magnetic field components in the case of unmagnetized plasma. But, it was found that the dispersion relation of surface modes depends significantly on these effects in the case of electrostatic or unmagnetized plasma.
Highlights
In recent years, quantum effects in plasmas and in electronic devices have attracted a lot of interest, due to their references therein, in microelectronics and nanotechnologies, for example, for the resonant tunnel diode [1], nanoelectron tubes [2], as well as in dense laser produced plasmas [3]
The quantum effects become important in plasma, when De Broglie wavelength associated with the particles is comparable to the dimension of the system and the temperature is lower than the Fermi temperature
Without any loss of generality, we study the possibility of propagation of the symmetric transverse electric (TE)-modes with the field components (Bx, By, Ez) which can be governed by Maxwell’s equations
Summary
Quantum effects in plasmas and in electronic devices have attracted a lot of interest, due to their references therein, in microelectronics and nanotechnologies, for example, for the resonant tunnel diode [1], nanoelectron tubes (nanotriode) [2], as well as in dense laser produced plasmas [3]. The quantum hydrodynamic (QHD) model is derived by taking moments of the Wigner equation as in the classical fluid model. This model consists of a set of equations describing the transport of charges, momentum, and energy in a charge particle system interacting through a self-electrostatic potential. The QHD model generalizes the fluid model for plasmas with the inclusion of quantum correction term known as Bohm potential [5] The latter is responsible for the electron tunneling at nanoscales as well as for introducing new types of plasma waves in dense quantum plasmas [6]. The dispersion properties of these modes would provide a useful tool for investigating the physical properties of quantum plasmas
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