I. M. Ternov

Quasiclassical trajectory‐coherent states of a particle in an arbitrary electromagnetic field

In this paper we show that for a nonrelativistic charged particle moving in an arbitrary external electromagnetic field there exist approximate solutions of the Schrodinger equation, such that the quantum‐mechanical averages of the coordinates and the momenta with respect to these states are general exact solutions of the classical Hamiltonian equations. Such states are called trajectory‐coherent states. The wave functions of the trajectory‐coherent states are obtained by the complex germ method by V. P. Maslov. The simplest properties of these states are studied.

Radiative corrections to motion of an electron in external electromagnetic fields

The value of the anomalous magnetic moment of an electron as a function depending on the parameters of the external electromagnetic field is obtained. Physical analysis of the obtained results is presented.

Radiation from an electron moving in a “short” magnet

Abstract The radiation from an electron moving in a “short” magnet has been studied. The spectral-angular characteristics and radiation polarization in analytical form were found and analysed.

Finite motion of electrons in the field of microscopic Black Holes

In the single-particle approximation of the Dirac equation, a study is made of the finite motion of electrons in the field of small black holes (M ≪< 1017 g) under the assumption that the black hole has rotation (a ≪< M) and charge much less than the critical value (Z < 137). In this case, the motion of the particle is nonrelativistic, and the energy spectrum is hydrogen-like. The influence of rotation of the hole on the binding energy of the particle is small and unimportant for determining the damping of the levels due to capture by the hole. In contrast to a scalar particle, the damping of the electron states is not replaced by excitation for ω < mjΩH + eVH. The gravitational spin-orbit interaction has a strong influence on the damping. The probability of capture of an electron with spin anti-parallel to the orbital angular momentum is much greater than the probability of capture for a particle with spin parallel to it. In the Schwarzschild field, the damping of the S state of an electron is eight times less than the damping of the ground state of a scalar particle.

Creation of electron-positron pairs and their annihilation in a superstrong magnetic field

Abstract The probability of creation and annihilation of pairs in a superstrong magnetic field H ≳ H 0 = m 2 c 3 / e ⪆ 4.41 × 10 13 G is obtained. it is shown that in such a field the ground state of electrons (or positrons) provides considerable contribution to the total probability of the process.

Characteristics of electrons moving in a magnetic field at low energy levels

The motion and radiation of electrons moving in a magnetic field at low energy levels are investigated using quantum theory. An important difference between the results obtained and the equations of classical theory is established. It is shown that the radiation essentially depends on the orientation of the particle spins. The existence of a metastable excited state of the electron is revealed. Radiation in super-high fields is demonstrated.

Transitions of νi ↔ νj (i ≠ j) type in an external field

Abstract Transitions of massive neutrinos with flavour violation induced by the field of a circularly polarized electromagnetic wave are studied within the standard model with lepton mixing. The νi ↔ νj (i≠j) amplitude and rate are calculated taking account of the vpolarization of the initial and final neutrinos. The transition νi → νj is compared with the process νi → νjγ in the absence of an external field. The branching ratio is shown to be independent of both mixing angles and masses of intermediate charged leptons.

Radiation of systems with relativistic electrons

Different methods of generating electromagnetic radiation in connection with the motion of electrons in external electromagnetic fields are discussed in this paper.

Constraints on the weak gauge boson composite scale from the muon g-2 factor

Abstract We investigate the contribution of the composite weak gauge and Higgs boson to the g−2 factor of a charged lepton, moving in external magnetic fields. The compositeness of the bosons is treated in the form factor model. The constraints on the boson composite scale from the CERN muon g−2 experimental value and the constraints from the future BNL g−2 measurements are discussed.

Energy spectrum of the dirac equation for the Scharzschild and Kerr fields

We consider the effect of relativistic corrections and rotation of the central body on the structure of the energy spectrum of a particle with spin in the Schwarzchild and Kerr fields. A splitting of levels is obtained, which corresponds to the classical shift of the perihelion of the orbit and precession of the plane of the gravitational spin-orbit interaction and several nonlinear spin effects are calculated.