Experimental investigation of the strength of anisotropic materials in biaxial and triaxial compression

It is proposed that the strengths in uniaxial and uniform biaxial compression in the direction of the axes of symmetry be used as parameters. The applicability of a strength criterion in the form of a fourth-degree polynomial to glass-reinforced plastics in biaxial compression in the plane of reinforcement and the transversal plane and to wood in triaxial compression has been experimentally confirmed.S. M. Kirov Leningrad Forest Engineering Academy. Translated from Mekhanika Polimerov, No. 6, pp. 991–996, November–December, 1973.     

Characteristic features of exact solutions of the problem of an electron in the quantized field of a plane wave

The physical and mathematical features of exact solutions of the problem of an electron moving in the field of a quantized, plane electromagnetic wave [1–4] are investigated. In particular, the problem of constructing solutions for all values of the total energy of the system is solved. A new interpretation is given to the limiting approach to Volkov solutions [5, 6]. The completeness and orthogonality of the solutions are proven in the reference plane formalism. The notation of [4] is used in this paper.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 7–14, March, 1977.     

A statistical analysis of the wavenumbers of triplet rovibronic transitions of the D<Subscript>2</Subscript> molecule: III. Optimum values of level energies

The optimum energy values of the vibrational-rotational levels of all the experimentally studied 35 triplet electronic states of the D2 molecule were found using a one-step optimization procedure only based on the Rydberg-Ritz combination and maximum likelihood principles. The set of energy values for 1050 levels was obtained from 3713 experimental data (3588 old and 125 new data) on the wavenumbers of rovibronic transitions. The energies were counted from the lowest vibrational-rotational level (ν = 0, N = 0) of the (1sσ2sσ)a ³Σ _g ⁺ electronic state. Errors in the empirical determination of optimum level energy values caused only by the limited consistency of the experimental data obtained by different authors, different methods, and in different spectrum regions were found. They are of 0.005–0.1 cm⁻¹ and increase as the vibrational and rotational quantum numbers grow. The possibility of discovery of new not identified earlier band systems was demonstrated. This can be done using the optimum level energies for calculations of the wave-numbers of spectral lines allowed by selection rules followed by the search for these lines in the experimental spectra of D₂.     

Multiplicative Renormalizability of Yang-Mills Theory with the Background Field Method in the BV Formalism

Theoretical and Mathematical Physics - Studying the gauge-invariant renormalizability of four-dimensional Yang-Mills theory using the background field method and the BV formalism, we derive a...     

Low-temperature formation of thermal and electrodynamic states in Bi<Subscript>2</Subscript>Sr<Subscript>2</Subscript>CaCu<Subscript>2</Subscript>O<Subscript>8</Subscript>

The formation of thermal and electrodynamic states in Bi₂Sr₂CaCu₂O₈ under the condition of current input is studied. The analysis is carried out for partial and complete current penetration under the assumption that the superconductor is cooled down to liquid helium temperature at the zero time. When the current input is continuous, the temperature dependence of the Bi₂Sr₂CaCu₂O₈ specific heat influences the form of the I-V and I-T characteristics of the superconductor. This effect is observed at high electric fields when both stable and unstable states form. As a result, the nonstationary I-V characteristic of Bi₂Sr₂CaCu₂O₈ has the only branch the slope of which is positive and decreases with increasing temperature. Therefore, the higher the rate of current input, the more pronounced the decrease in the slope. It is concluded that one cannot find the current above which instability develops from the Bi₂Sr₂CaCu₂O₈ I-V characteristic if the current input is continuous.     

Synthesis of tritium-labeled PAM-43

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