Field theory classification and singular perturbations
Field theory classification and singular perturbations
V.B. Gostev, V.S. Mineev, A.R. Frenkin
A sequential analogy is drawn between classes of perturbative theories of quantum fields (superrenormalized, renormalized, and unrenormalized) and the behavior of the matrix elements in Rayleigh-Schr$\stackrel{..}{o}$dinger progressions for an anharmonic oscillator with a perturbation of $\lambda|x|^{-\nu}$. Each class of fields has its own range of values or the parameter $\nu$ for the case of even solutions of the Schr$\stackrel{..}{o}$dinger equation. The proposed analogy is different from those previously examined in the literature.
Show AbstractQuantum corrections in the quasiclassical theory of synchrotron radiation
Quantum corrections in the quasiclassical theory of synchrotron radiation
I.M. Ternov, V. Bordovitsyn
A simple quasiclassical deduction of all (known) quantum correction to the power of synchrotron radiation of an electron is proposed. The effects of recoil in this case are naturally separated from the radiation of the intrinsic magnetic moment right up to the second order of smallness in terms of $\hbar$. The physical sense of the quantum corrections to the power of the synchrotron radiation in this way becomes even clearer.
Show AbstractThe perturbation theory in statistical thermodynamics and its generalization
The perturbation theory in statistical thermodynamics and its generalization
I.P. Bazarov, P.N. Nikolaev
A generalization of the thermodynamic perturbation theory is acquired on the basis of consideration of the nature of the expansion for free energy at high densities.
Show AbstractFermion oound states in a Kerr-Newman field with a magnetic charge
Fermion oound states in a Kerr-Newman field with a magnetic charge
D.V. Galtsov, A.A. Ershov
Approximate solutions to Dirac's equation for the charged particles of 1/2 spin in a Kerr-Newman field are constructed. An expression is found for the energy of quasistationary states with consideration of the possibility of their decay as a result of tunneling into a black hole. The question about existence of zero modes is discussed.
Show AbstractThe magnetic forces which act on a particle in an isochronous cyclotron
The magnetic forces which act on a particle in an isochronous cyclotron
L.A. Sarkisyan
It is shown that besides the known magnetic Lorentz, Thomas, and Kerst forces which act on a particle in a magnetic field with spatial variation, there is also a nonlinear sign-changing azimuthal force $F_{\phi} = —\frac{e}{c} [V_rH_s]$ caused by the nonlinear radial component of velocity and the S-th harmonic of the vertical component of the magnetic field, in the zone of total resonance in terms of the free radial fluctuations of the $S=Q_r$ index in perturbated orbits. This force leads to a post-resonance reduction in the amplitude of the forced radial oscillations (damping beatings) with a rise in the frequency $Q_r$ with preservation of the beam emittance.
Show AbstractF- and D-couplings and lepton decays of baryons in a quark model with four flavors
F- and D-couplings and lepton decays of baryons in a quark model with four flavors
L. Gelmi, V.S. Zamiralov
The association between the constants of an F- and D-coupling of a weak, axially vector baryon current in SU(4) and the matrix elements of a quark current in the facings between three-quark states is found. It is shown that the constants of the F- and D-couplings characterize the quark-biquark structure of the baryons of the 20-braid SU(4).
Show AbstractCalculating the fraction of metastable helium atoms which are formed in the $He^{1+} + Na \to He+Na^{1+}$ reaction
Calculating the fraction of metastable helium atoms which are formed in the $He^{1+} + Na \to He+Na^{1+}$ reaction
N.F. Vorob'ev, E.A. Kral'kina
The portion of metastable particles which are formed with neutralization of $He^{1+}(^1S)$ ions in Na vapors in a region of collision rates of $v$ from 0.3 to 10 atomic units (at. un.) is calculated. The role in the formation of the fraction of metastable helium atoms of the process of electron capture into highly excited states with subsequent transitions to the metastable levels is explained. A comparison with the available experimental data is performed.
Show AbstractExcitation of the resonance levels of $Sr^+$ and $Ba^+$ ions in a discharge in a hollow cathode
Excitation of the resonance levels of $Sr^+$ and $Ba^+$ ions in a discharge in a hollow cathode
A.M. Devyatov, V.Kh. Fazlaev
The mechanism of excitation of resonance levels of strontium ions $5р^2Р_{3/2}$ and barium ions $6р^2Р_{3/2}$ in a discharge in a running-water-cooled hollow cathode with a helium filler is studied at $р=0.4\div 1.6$ mmHg and $i_р=100\div 400$ mA and with an argon filler at $р= 0.075\div 0.5$ mmHg and $i_p=50\div 200$ mA. It is established that in the investigated conditions the occupation of the resonance levels of the ions chiefly occurs due to collision between the electrons and the ions and atoms in the ground states and their depletion - primarily due to spontaneous transitions.
Show AbstractA numerical method for analyzing the intrinsic slowed waves of a dielectric waveguide
A numerical method for analyzing the intrinsic slowed waves of a dielectric waveguide
E.F. Alekseenko
The problem of analyzing intrinsic slowed waves of a dielectric waveguide (DW) using projection and indirect variational methods is reduced to the problem for the intrinsic values. An iterational algorithm is proposed for solving this problem. The results are cited of an analysis of DW of different shapes and different distribution of the dielectric permittivity within the cross section.
Show AbstractManifestation of universal intermolecular interactions in the spectrally luminescent and generation properties of coumarine 1
Manifestation of universal intermolecular interactions in the spectrally luminescent and generation properties of coumarine 1
N.V. Korol'kova, B.M. Uzhinov
The effect of universal intermolecular interactions on the luminescence and laser generation of coumarine 1 is investigated in different solvents. It is shown that solutions of coumarine 1 in polar solvents, in which the orientational intermolecular relaxation leads to a disposition of the energy levels of the molecules of the dye, which is favorable for generation, and to a reduction in the threshold of generation as compared to the threshold in nonpolar solvents, have the greatest effectiveness of generation.
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