Self-consistent equations for the interaction of an atom with an electromagnetic field of arbitrary intensity

Andreev, A. V.

doi:10.1134/1.1324018

Cited by 84 publications

(25 citation statements)

References 3 publications

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“…So the cold electrons provide the inertial and the hot electrons provide the necessary restoring force. It should be mentioned here that such two types of electrons can be found in laboratory (i.e., laser-produced plasmas) (Kremp et al 1999;Andreev 2000;Bingham et al 2004) as well as in dense astrophysics plasmas (Chabier et al 2002(Chabier et al , 2006. However, one may ask to what is the physical basis to differentiate between the two species of the electrons?…”

Section: Introductionmentioning

confidence: 98%

Quantum electron-acoustic solitary waves interaction in dense electron-ion plasmas

El‐Labany

El-Shamy

Elmahgoub

2012

Astrophys Space Sci

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The effects of Bohm potential on the headon collision between two quantum electron-acoustic solitary waves (QEASWs) in two electron species quantum plasma have been investigated using the extended Poincaré-Lighthill-Kuo (PLK) method. The analytical phase shifts after the head-on collision of the two QEASWs are derived. Numerically, in two cases (i.e., the dense solid state plasma and the dense astrophysical environments), the results show that the cold electron-to-hot electron number density ratio, the quantum corrections of diffraction and Fermi temperature of hot electrons have strong effects on the nature of the phase shifts and the trajectories of two QEASWs after collision.

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Section: Introductionmentioning

confidence: 98%

Quantum electron-acoustic solitary waves interaction in dense electron-ion plasmas

El‐Labany

El-Shamy

Elmahgoub

2012

Astrophys Space Sci

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“…It has been recently recognized [25,38,39] that quantum mechanical effects play an important role in intense laser-solid density plasma interaction experiments. In the latter, there are nonlinearities [40] associated with the electron mass increase in the electromagnetic (EM) fields and the modification of the electron number density by the relativistic ponderomotive force.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Quantum Plasma Physics

Shukła

Eliasson

Shaikh

2009

Astrophysics and Space Science Proceedings

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Summary.We present simulation studies of the formation and dynamics of dark solitons and vortices, and of nonlinear interactions between intense circularly polarized electromagnetic (CPEM) waves and electron plasma oscillations (EPOs) dense in quantum electron plasmas. The electron dynamics in the latter is governed by a pair of equations comprising the nonlinear Schrödinger and Poisson system of equations, which conserves electrons and their momentum and energy. Nonlinear fluid simulations are carried out to investigate the properties of fully developed two-dimensional (2D) electron fluid turbulence in a dense Fermi (quantum) plasma. We report several distinguished features that have resulted from our 2D computer simulations of the nonlinear equations which govern the dynamics of nonlinearly interacting electron plasma oscillations (EPOs) in the Fermi plasma. We find that a 2D quantum electron plasma exhibits dual cascades, in which the electron number density cascades towards smaller turbulent scales, while the electrostatic potential forms larger scale eddies. The characteristic turbulent spectrum associated with the nonlinear electron plasma oscillations determined critically by quantum tunneling effect. The turbulent transport corresponding to the large-scale potential distribution is predominant in comparison with the small-scale electron number density variation, a result that is consistent with the classical diffusion theory. The dynamics of the CPEM waves is also governed by a nonlinear schrödinger equation, which is nonlinearly coupled with the nonlinear Schrödinger equation of the EPOs via the relativistic ponderomotive force, the relativistic electron mass increase in the CPEM field, and the electron density fluctuations. The present governing equations in one spatial dimension admit stationary solutions in the form a dark envelope soliton. The dynamics of the latter reveals its robustness. Furthermore, we numerically demonstrate the existence of cylindrically symmetric two-dimensional quantum electron vortices, which survive during collisions. The nonlinear equations admit the modulational instability of an intense CPEM pump wave against EPOs, leading to the formation and trapping of localized CPEM wave pipes in the electron density hole that is associated with a positive potential distribution in our dense plasma.

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“…Drift instability has been studied by Rosenberg and Merlino [45] in a magnetized plasma comprising of positive ions and negative ions. On the other hand, investigation of the propagation properties of waves in quantum plasmas is of fundamental importance due to their vital role for understanding the collective behaviors in super-dense astrophysical objects [24], in intense laser-solid density plasma experiments [6,33], in ultra-cold plasma [27], in microelectronic devices [34], in nanowires [67], carbon nanotubes [84], and quantum diodes [7]. New pressure laws and new quantum forces are included in a quantum plasma, such that in the presence of these new forces the collective behavior of quantum plasmas affects significantly.…”

Section: Introductionmentioning

confidence: 99%

Solitary and double-layer structures in quantum bi-ion plasma

Shahmansouri

Tribeche

2016

J Theor Appl Phys

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Weak ion-acoustic solitary waves (IASWs) in an unmagnetized quantum plasmas having two-fluid ions and fluid electrons are considered. Using the one-dimensional quantum hydrodynamics model and then the reductive perturbation technique, a generalized form of nonlinear quantum Korteweg-de Vries (KdV) equation governing the dynamics of weak ion acoustic solitary waves is derived. The effects of ion population, warm ion temperature, quantum diffraction, and polarity of ions on the nonlinear properties of these IASWs are analyzed. It is found that our present plasma model may support compressive as well as rarefactive solitary structures. Furthermore, formation and characteristics properties of IA double layers in the present bi-ion plasma model are investigated. The results of this work should be useful and applicable in understanding the wide relevance of nonlinear features of localized electro-acoustic structures in laboratory and space plasma, such as in super-dense astrophysical objects [24] and in the Earth's magnetotail region (Parks [43]. The implications of our results in some space plasma situations are discussed.

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Self-consistent equations for the interaction of an atom with an electromagnetic field of arbitrary intensity

Cited by 84 publications

References 3 publications

Quantum electron-acoustic solitary waves interaction in dense electron-ion plasmas

Quantum electron-acoustic solitary waves interaction in dense electron-ion plasmas

Nonlinear Quantum Plasma Physics

Solitary and double-layer structures in quantum bi-ion plasma

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