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     

Induction of the gravitational constant in an electric field

We investigate the induction of the gravitational constant by a complex scalar field in curved space with the help of the spontaneous symmetry breaking effect. It is shown that the presence of a periodic electric field induces small variations in the Newtonian gravitational constant.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 98–102, April, 1989.In conclusion, the author expresses thanks to the participants in Professor A. A. Grib's seminar for useful discussions.     

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.     

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.     

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.     

Growth-rates of unstable Ion-Sound waves in a constant electric field

A constant electric field changes the linear growth rates of ion sound waves. The corrections are small, if the field energy is lower than the electron thermal energy times the ratio of electron to ion mass. They depend also on the nonlinear variation of the particle distributions.     

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.     

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.     

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.     

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.     

Kinetic equations for electrons and phonons in a strong constant electric field

The kinetic equations for the electron and phonon distribution functions have been obtained for a system in an arbitrarily strong uniform constant electric field.     

Electromagnetic wave radiation by oscillating particles located in a constant electric field

The electromagnetic waves radiated by charged and uncharged liquid particles oscillating in a constant electric field are studied theoretically. Expressions are obtained for the power radiated by such particles and the power produced by a single particle is evaluated.     

Multiphonon capture of carriers in parabolic quantum wells in a constant electric field

The zero-radius potential model is used to investigate multiphonon (radiationless) transitions between bound states of a parabolic quantum well (PQW) in a constant electric field whose intensity vector is perpendicular to the PQW surface. It is shown that thermal-capture thicknesses depend significantly on the magnitude and direction of the electric field and on the position of the impurity in the spatially bounded system. Fiz. Tverd. Tela (St. Petersburg) 40, 1126–1129 (June 1998)