Characteristics of synchrotron radiation of longitudinally polarized spinning particle in the pseudoclassical theory

Spin dependencies of the intensity and polarization of the synchrotron radiation of the longitudinally polarized particle performing uniform circular motion in the magnetic field are investigated.Comment: LATEX, 6 pages, misprints correcte

On the universal function for weighted spaces L^p_u[0,1], p>=1

In the paper it is shown that there exist a function g from L1[0,1] and a weight function 0<u(x)<=1, so that g is universal for each classes L^p_u[0,1], p>= 1 with respect to signs-subseries of its Fourier-Walsh series

Pseudoclassical neutrino in the external electromagnetic field

The problem of the passage of the neutral massless particle with anomalous magnetic moment through the external electromagnetic field is considered both in pseudoclassical and quantum mechanics. The quantum description uses the hamiltonian in the Foldy--Wouthuysen representation, obtained from the pseudoclassical hamiltonian of the massive charged particle with anomalous magnetic moment in interaction with the external electromagnetic field using Weyl quantization scheme.Comment: LATEX, 10 pages, no figure

Formation lengths of hadrons in lepto-production

The average formation lengths of the hadrons produced during the deep inelastic scattering (DIS) of leptons on protons are studied in the framework of the symmetric Lund model. It is shown that these formation lengths essentially depend on the electric charges of the hadron. For electro-production and charged current (CC) neutrino-production, the average formation lengths of positively charged particles are larger than those of negatively charged antiparticles. This situation is reversed for CC antineutrino-production. In all the mentioned cases, the main mechanism is the direct production of hadrons. The additional mechanism of hadron production, through the decay of resonances, is essential only for pions and leads to a decrease in the average formation lengths.Comment: 6 pages, 2 figure

Spin snake states with spin-orbit and Zeeman interactions in an inhomogeneous magnetic field

We study the spin edge states, induced by the combined effect of Bychkov-Rashba spin-orbit, Zeeman interactions and inhomogeneous magnetic field, exposed perpendicularly to two-dimensional electron systems. We calculate analytically the spectrum of the spin edge states (the spin snakes orbits) in systems where the magnetic field exhibits a discontinuous jump in the transverse direction and changes its sign at the magnetic interface. The obtained magnetic spin edge states in a 2DES exhibit several interesting properties: in particular, electrons reverse their propagation direction at finite values of their momentum

Study of the multiplicity of hadrons on nuclei

The improved two-scale model with symmetric Lund distribution function is used to perform the fit to the semi-inclusive deep-inelastic scattering (SIDIS) data on nuclear targets of HERMES experiment at DESY. The ratio of hadron multiplicity on nuclear target to the deuterium one is chosen as observable, as usually. Some peculiarities of the fit are discussed. The two-parameter's fit gives satisfactory agreement with the data. The results of the present and previous fits are compared.Comment: 5 pages, 3 figure

About dual two-dimensional oscillator and Coulomb-like theories on a plane

We present a mathematically rigorous quantum-mechanical treatment of a two-dimensional nonrelativistic quantum dual theories (with oscillator and Coulomb like potentials) on a plane and compare their spectra and the sets of eigenfunctions. All self-adjoint Schrodinger operators for these theories are constructed and rigorous solutions of the corresponding spectral problems are presented. The first part of the problem is solved by using a method of specifying s.a. extensions by (asymptotic) s.a. boundary conditions. Solving spectral problems, we follow the Krein's method of guiding functionals. We show, that there is one to one correspondence between the spectral points of dual theories in the planes energy-coupling constants not only for discrete, but also for continuous spectra.Comment: 44 page

Pseudoclassical theory of Mayorana--Weyl particle

A pseudoclassical theory of Weyl particle in the space--time dimensions $D=2n$ is constructed. The canonical quantization of that pseudoclassical theory is carried out and it results in the theory of the $D=2n$ dimensional Weyl particle in the Foldy--Wouthuysen representation. A quantum mechanics of the neutral Weyl particle in even--dimensional space--time is suggested and the connection of this theory with the theory of Mayorana--Weyl particle in QFT is discussed for D=10.Comment: LATEX, 14 pages, no figures, replacement because of e-mail transfer fault

Lienard-Wiechert potential and synchrotron radiation of a relativistic spinning particle in the pseudoclassical theory

Lienard-Wiechert potentials of the relativistic spinning particle with anomalous magnetic moment in pseudoclassical theory are constructed. General expressions for the Lienard-Wiechert potentials are used for investigation of some specific cases of the motion of the spinning particle. In particular the spin dependence of the intensity of the synchrotron radiation of the transversely polarized particle performing uniform circular motion is considered. When the movement of the particle in external homogeneous magnetic field the obtained formulae coincide with those known from quantum theory of radiation. The dependence of the polarization of the synchrotron radiation on the spin of the particle is investigated.Comment: Latex, 15 pages, misprints corrected, reference adde

Pseudoclassical and quantum theory of the D=2n dimensional relativistic spinning particle with anomalous "magnetic" moment in the external Yang-Mills field

The pseudoclassical hamiltonian and action of the $D=2n$ dimensional Dirac particle with anomalous magnetic moment interacting with the external Yang-Mills field are found. The Bargmann-Michel-Telegdi equation of motion for the Pauli-Lubanski vector is deduced. The canonical quantization of $D=2n$ dimensional Dirac spinning particle with anomalous magnetic moment in the external Yang-Mills field is carried out in the gauge which allows to describe simultaneously particles and antiparticles (massive and massless) already at the classical level. Pseudoclassical Foldy-Wouthuysen transformation is used to obtain canonical (Newton-Wigner) coordinates and in terms of these variables the theory is quantized.Comment: 10 pages, latex fil