The Riemann surface in the target space and vice versa

It is observed that the classical part of the partition function associated with the mappings from a genus-g Reimann surface Σ_g to an “almost complex” target space T_2d is equal to that related to the mappings Σ_d to T_2g. The classical part related to the mappings from a genus-2g Reimann surface Σ_2g described by a “real” period matrix, to a target space T_d is equal to the classical part related to mappings from Σ_2g to T_g. Some physical consequences of these mathematical identities are discusses.     

Narrow-band terahertz Bragg reflectors based on coupling of propagating and quasi-critical waves

We consider a planar system of narrow-band Bragg reflectors in which the transformation of an incident wave into a counterpropagating wave occurs via the excitation of a quasi-critical mode. The period of the structure with a new modification of Bragg mirrors is approximately twice as large as that in the traditional case, in which direct coupling between two counterpropagating waves takes place. Analysis of modified Bragg structures based on the method of coupled waves, in which high-frequency fields are quasi-optical beams, demonstrates the effectiveness of the proposed system of reflectors for the spacing between corrugated plates from 10 to 15 wavelengths λ. These conclusions were confirmed by direct numerical simulation. Such a superdimensionality is sufficient for using modified Bragg reflectors in high-power long-pulse free-electron lasers operating at short-wave frequency ranges up to the terahertz range.     

Enhanced superhyperfine structure of the EPR spectra of a U<Superscript>3+</Superscript> ion introduced into the Van Vleck paramagnet LiTmF<Subscript>4</Subscript>

The observation of the superhyperfine structure (SHFS) in EPR spectra due to enhanced nuclear magnetism is reported. The X-band spectrum of a U³⁺ ion introduced into the Van Vleck paramagnet LiTmF₄ is measured in the temperature range of 5–20 K and compared with the spectra of LiLuF₄:U³⁺ and LiYF₄:U³⁺ single crystals. The spectra reveal well-resolved and strikingly different SHFS. The SHFS of Li(Lu, Y)F₄:U³⁺ is due to the fluorine ions forming the nearest surroundings of the U³⁺ ion. The main contribution to the SHFS of the U³⁺ spectrum in LiTmF₄ comes from the Tm³⁺ ions with a highly enhanced nuclear gyromagnetic tensor. The text was submitted by the authors in English.     

Invariants and radiation of some nonstationary systems

In this paper formulas are obtained by means of the coherent-state method for calculating the radiation power of a nonstationary quantum system ofN charged particles whose Hamiltonian is a general quadratic form with respect to coordinates and momenta. The transitions between the coherent states and the Fock states of this system are discussed. The radiation is calculated both in the dipole approximation and strictly. As an example, the radiation of a charge in homogeneous varying electric and magnetic fields is found. The classical limit is considered.     

Newtonian viscosity of polymer solutions over a wide range of compositions as a function of certain parameters determining it

Using solutions of various polymers in a large number of solvents as an example, the possibility of constructing a generalized characteristic for their viscosity, which is invariant relative to the molecular weight of the polymer and the nature of the solvent, is indicated. It is shown that the parameters characterizing the properties of individual macromolecular chains are the dimensions of the coils [], and the rheological effectiveness of interaction of the segments K_M retain their importance and quantities determining the viscous properties of the polymer solution over the whole range of compositions. A connection is established between the datum parameter K_M and the thermodynamic properties of dilute solutions of polymers, the flexibility of the polymer chain, and the energy of its intermolecular interaction.A. M. Gor'kii, Ural State University, Sverdlovsk. A. V. Topchiev Institute of Petrochemical Synthesis, Academy of Sciences of the USSR, Moscow. Translated from Mekhanika Polimerov, No. 6, pp. 1110–1117, November–December, 1972.     

Stacking Aggregation and Photodimerization of Thymine Chromophores in Aqueous Solutions of Polythymidylic Acid

Optics and Spectroscopy - Heterogeneity of aqueous solutions of polythymidylic acid (poly-T) at room temperature is established by luminescence and absorption spectroscopy. It is found that there...     

Trajectory Analysis in a Gyrotron Electron–Optical System with Allowance for the Cathode Surface Roughness

Radiophysics and Quantum Electronics - We propose a method for considering the spread of initial electron velocities caused by the roughness of the cathode surface while performing a...