Relativistic effects on the electronic structure of allyl mercury

Conclusions Relativistic effects can destabilize the -complexes of allyl mercury compounds and weaken the effects of , conjugation, which leads to a decrease in the first ionization potentials; their effect on the distribution of electron density in the allyl mercury molecule (manifested, in particular, by a decrease in the positive charge on the mercury atom) is almost independent of the conformation of the molecule.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 7, pp. 1570–1573, July, 1989.     

Use of a complex moving weighted averaging method for receiver nonuniform frequency response restoration

One of the limitations of the complex moving weighted averaging method is the requirement of a small nonuniformity of the desired frequency response in a weighted averaging frequency interval. A multistep procedure in which an averaging result is used for initial frequency dependence editing is proposed. An example of use of the proposed procedure during continuous radiation in a nonanechoic water tank is given for free-field calibration of hydrophone with a sensitivity frequency response that is nonuniform at low frequencies.     

BRST charges for finite nonlinear algebras

Some ingredients of the BRST construction for quantum Lie algebras are applied to a wider class of quadratic algebras of constraints. We build the BRST charge for a quantum Lie algebra with three generators and ghost-anti-ghosts commuting with constraints. We consider a one-parametric family of quadratic algebras with three generators and show that the BRST charge acquires the conventional form after a redefinition of ghosts. The modified ghosts form a quadratic algebra. The family possesses a nonlinear involution, which implies the existence of two independent BRST charges for each algebra in the family. These BRST charges anticommute and form a double BRST complex.