Multidimensional leray residues and effective masses of a lattice model

Leningrad State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 89, No. 1, pp. 156–160, October, 1991.     

A spectral identity for the multidimensional Schrödinger equation with periodic potential

The Schrödinger equation with periodic potential is considered in the two- and three-dimensional cases. It is established that the sum of the determinants of the effective masses of the particle is equal to its real mass to the power equal to the dimension.Physics Institute of the St Petersburg University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 91, No. 3, pp. 524–528, June, 1992.     

BRST quantization of gauge theories in hamiltonian-like gauges

V. A. Steklov Mathematics Institute, USSR Academy of Sciences. Translated from Teoreticheskaya Matematicheskaya Fizika, Vol. 87, No. 2, pp. 188–206, May, 1991.     

Experimental investigations of artificial low-frequency amplitude modulation of radiowaves reflected from the ionosphere

Scientific-research Radiophysical Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 34, No. 1, pp. 23–27, January, 1991.     

Null surface quantization and quantum theory of massless fields in asymptotically flat space-time

The quantum theory of massless fields in an asymptotically simple space-time is developed. The Schwinger dynamical principle and the Penrose conformal technique are exploited to derive the commutation relations on proper null surfaces in a curved space-time and on null infinities. The explicit expression for theS matrix in an asymptotically simple space-time is presented. The general expression for a density matrix describing particles created in an external field is also given and its possible applications are discussed briefly.