Influence of constant quantizing electric field on plasma waves in a two-dimensional superlattice

The effect of a constant electric field on plasma waves in a two-dimensional electronic gas in a system with periodic potential is investigated. A dispersion relation ω(k) is obtained using the high temperature approach. The main and resonant modes of plasma waves are investigated numerically. Regions of one-particle and collective excitations are identified. Calculations are performed on the basis of the plasma wave quantum theory in a random-phase approximation with allowance for the Umklapp processes.     

The shape of a drop in a constant electric field

The variation of the shape of a drop immersed in an immiscible liquid under the action of an electric field is calculated. The charge is transferred both by ohmic current through the interface and by the convective component over the interface. A solution quadratic in the parameter that is the ratio of the electric pressure to the capillary pressure is analyzed. Conditions where the drop transforms into a spheroid that is prolate or oblate along the electric field vector are found. An experimental study of the drop deformation by electric forces is carried out.     

Dilation analyticity in constant electric field

We extend the analysis of Paper I from two body dilation analytic systems in constant electric field toN-body systems in constant electric field. Particular attention is paid to what happens to isolated eigenvalues of an atomic or molecular system in zero field when the field is turned on. We prove that the corresponding eigenvalue of the complex scaled Hamiltonian is stable and becomes a resonance. We study analyticity properties of the levels as a function of the field and also Borel summability.Research partially supported by USNSF grant MCS 78-00101Research partially supported by USNSF grant MCS 78-01885     

Bloch electrons in constant electric field

The motion of a conduction electron of a crystal in a constant electric field is studied. It is shown that the modulus of the wave function inp-representation is well approximated by a periodic function for times smaller than several hundred periods.On leave from Department of Physics, Luminy, Université d'Aix-Marseille II, and Centre de Physique Théorique, CNRS, Marseille, France     

Dilation analyticity in constant electric field

The resolvent of the operatorH ₀(ε, θ)=?Δe ^-20+εx ₁ e ^θ is not analytic in θ for θ in a neighborhood of a real point, if the electric field ε is non-zero. (One manifestation of this singular behavior is that for 0<|Im θ|<π/3,H ₀(ε, θ) has no spectrum in the finite plane.) Nevertheless it is shown that the techniques of dilation analyticity still can be used to discuss the long-lived states (resonances) of a system described by a Hamiltonian of the formH=?Δ+εx ₁+V(x).     

A quasi-one-dimensional ballistic ring in a constant electric field

For an electron placed in a quasi-one-dimensional ballistic ring and subjected to a constant electric field, the mean dipole moment and the intensity of dipole radiation were calculated. As the field intensity decreases, the initially paraelectric ring turns dielectric.     

Decomposition of silver azide crystals in a constant electric field

New experimental results of investigations of the physicochemical processes initiated in filamentary crystals of silver azide by variously configured electric fields are presented and discussed. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 53–56, October, 2006.     

Transition probabilities of neon atom in a constant electric field

The probability of 5s-3d, 5s-3p, 5p-3s, 5d-3s, 4d-3p, and 4f-3p transitions of Ne I in an electric field is calculated. It is shown that the probability of the permitted transitions 5s-3p and 5p-3s is unchanged with increase in the field from 0 to 50 kV/cm, while the probability of the forbidden transitions 5s-3d and 5d-3s is very small. In the given range of field strengths, the probability of permitted 4d-3p transitions markedly falls and intense forbidden 4f-3p transitions appear. Of the configurations considered, the electric field has most effect on those with2.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 67–70, March, 1979.     

Durability of polycrystalline ferroelectric ceramics in a constant electric field

The kinetics of mechanical fracture and electric breakdown of polycrystalline ferroelectric ceramics under simultaneous action of an electric field and mechanical load have been investigated. The procedures for determining the activation characteristics of both processes from only the fracture kinetics in one of them have been developed.     

Decay of a negative molecular ion in a constant electric field

The problem of the shift and broadening of the electron energy levels in the field of two 3D short-range potentials (e.g., the model of a negative molecular ion) by a constant electric field F is considered. The interaction of an electron with attraction centers is taken into account in the effective range approximation. We analyze the cases when both centers maintain weakly bound s states and when the electron state in the field of one of the centers is a p state. Exact numerical results for the shift and the width of the energy levels of a quasi-molecule as functions of field F, distance R between atomic centers, and the orientation of the quasi-molecule axis relative to vector F are presented, as well as the results of analytic treatment for a number of limiting cases. The exact values of complex energies of the quasi-molecule are compared with analytic results for a weak field in the case of identical s centers [26], as well as nonequivalent s centers and s-p centers; the applicability boundaries of the weak field approximation are established. It is shown that for large values of R, the position and width of the levels in a strong field are correctly described in perturbation theory in the exchange interaction. We analyze the field-induced quasi-intersection of molecular energy levels of the system with nonequivalent atomic centers and peculiarities in the energy level widths associated with this intersection. The results make it possible to qualitatively interpret the results of numerical calculations of the probability of homo- and heteronuclear molecules being ionized by a low-frequency laser field.     

Properties of evanescent waves in polarized media in a constant external electric field: II. The noncompensated antiferromagnetic

The effect of gyrotropy on the character of formation and propagation of evanescent waves of the TM and TE types in the presence of a constant external electric field is studied by an example of the two-sublattice model of a centrally symmetric antiferromagnetic in the easy-plane, weak ferromagnetic phase.     

Properties of evanescent waves in polarized media in a constant external electric field: I. The compensated antiferromagnetic

The dependence of formation and propagation conditions for evanescent waves of the TM and TE types on the magnitude and direction of a constant external electromagnetic field is studied by an example of the two-sublattice model of a centrally symmetric antiferromagnetic in the collinear phase.     

Two-electron states in a double quantum dot in a constant electric field

The wave functions of stationary states and the spectrum of two-electron system are analytically determined in a symmetric double quantum dot. It is shown that in the ground state when the external electric field is absent, electrons cannot reside in the same quantum dot due to the Coulomb blockade. This situation changes in an external electric field. At a critical field strength, the probability of finding both electrons in the same quantum dot jumpwise increases from zero to unity.     

On generation of boost pairs by a constant electric field

The problem of quantization of a complex scalar field in an external constant uniform electric field is considered in the basis of boost modes. The in- and out-regions in the Minkowski space are deter-mined, and the complete sets of in- and out boost modes describing particles and antiparticles are constructed. The number of boost pairs generated by the field from vacuum in each mode, as well as the total number of produced particles, is calculated.     

Effect of a constant electric field on mutual rectification in a graphene superlattice

The effect of a transverse dc electric field on two-wave mutual rectification in a graphene superlattice (GSL) is investigated. Two field orientations are considered: (i) the polarization plane is parallel to the GSL axis and (ii) the polarization plane is perpendicular to the GSL axis. In both cases, the constant field is perpendicular to the polarization plane. The current density is calculated within a one-miniband model using the Boltzmann equation in the approximation of constant relaxation time.