Effective synthesis of <Emphasis Type="Italic">N</Emphasis>-substituted 1,3,5-dithiazinanes by reactions of <Emphasis Type="Italic">N</Emphasis>-methyl-1,3,5-dithiazinane and 1,3,5-trithiane with aromatic amines

A novel procedure has been developed for selective synthesis of N-aryl-1,3,5-dithiazinanes, 1,2,6,7-tetrahydro-3,5,1,7-benzodithiadiazonine, and 6,7-dihydro-1,3,5,7-benzotrithiazonine by reactions of aniline derivatives with N-methyl-1,3,5-dithiazinane or 1,3,5-trithiane in the presence of transition and rare earth metal salts and complexes.     

Discrete spectra of the Dirac Hamiltonian in Coulomb and Aharonov-Bohm potentials in 2+1 dimensions

We find all self-adjoint Dirac Hamiltonians in Coulomb and Aharonov-Bohm potentials in 2+1 dimensions with the fermion spin taken into account. We obtain implicit equations for the spectra and construct eigenfunctions for all self-adjoint Dirac Hamiltonians in the indicated external fields. We find explicit solutions of the equations for the spectra in some cases.     

Electron in the Aharonov-Bohm potential and in the Coulomb field in 2+1 dimensions

We obtain exact solutions of the Dirac equation in 2+1 dimensions and the electron energy spectrum in the superposition of the Aharonov-Bohm and Coulomb potentials, which are used to study the Aharonov-Bohm effect for states with continuous and discrete energy spectra. We represent the total scattering amplitude as the sum of amplitudes of scattering by the Aharonov-Bohm and Coulomb potentials. We show that the gauge-invariant phase of the wave function or the energy of the electron bound state can be observed. We obtain a formula for the scattering cross section of spin-polarized electrons scattered by the Aharonov-Bohm potential. We discuss the problem of the appearance of a bound state if the interaction between the electron spin and the magnetic field is taken into account in the form of the two-dimensional Dirac delta function. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 149, No. 3, pp. 502–517, December, 2006. An erratum to this article is available at .     

Spin effects in processes with the participation of high-energy particles in a magnetic field

The fundamental characteristics of electromagnetic processes are considered in the presence of an external magnetic field in which electron (positron) self-polarization occurs.From material of a report to the All-Union Conference on Investigation of Spin Phenomena in High-Energy Physics (Protvino, November, 1982).Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 12–16, July, 1984.     

Reaction of lithium acetylides with car-3-ene-2,5-dione

The reaction of car-3-ene-2,5-dione (1), an oxidation product of (+)-car-3-ene, with lithium acetylides proceeds stereospecifically, but not regioselectively, to give only mixtures of regioisomeric acetylenic alcohols with thesyn-orientation of the hydroxy group. Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 1, pp. 183–185, January, 1998.     

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.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 5–31, February, 1980.     

Substitution reaction with participation of organoaluminum compounds. Communication 5. Skeletal rearrangements in reactions of trialkylalanes with tosylates of certain homoallylic alcohols of the terpene series

Conclusions The reactions of nopyl tosylates and 4-hydroxymethyl-²-carene with Et₃Al and (i-Bu)₃Al are accompanied by skeletal rearrangements, leading to bi- and tricyclic hydrocarbons, containing small rings. The previously unknown rearrangement of nopyl tosylate into brendane series of hydrocarbons has been established.For Communication 4, see [1].Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 8, pp. 1814–1820, August, 1985.     

The radiation from a charge moving in a plane wave field and a magnetic field

The methods of classical electrodynamics are used to consider the problem of the radiation from an electron moving in the field of a monochromatic circularly polarized wave and a uniform magnetic field directed parallel to the direction of propagation of the wave. Expressions for the total radiation intensity and for the angular spectral distribution of the radiation are derived. Certain particular cases are studied.