Integration of the Hamilton–Jacobi and Maxwell Equations in Diagonal Metrics of Stäckel Spaces

Russian Physics Journal - A classification of metrics and electromagnetic potentials is carried out for the case when the Hamilton–Jacobi equation admits a complete separation of variables in...     

Nontrivial conformally steckel metrics in einstein spaces

All isotropic conformally Steckel metrics are derived that satisfy the Einstein vacuum equations containing a Λ term and do not reduce to the purely Steckel type. The metrics allow the integration of the Hamilton-Jacobi equation for a massless particle by complete variable separation. Tomsk State Pedagogic University. Tomsk State University. High-Current Electronics Institute, Siberian Division, Russian Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 74–78, October, 1997.     

Reduction of the dirac equation and its connection with the Ivanenko-Landau-Kähler equation

The theory of spinors isconsidered in the framework of the formalism of inhomogeneous differential forms. The possibility of describing fermions by means of the Ivanenko-Landau-Kählerequation and its connection with the standard Dirac equation are investigated.Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 94, No. 2, pp. 276–295, February, 1993.     

Stäckel spaces in electrovacuum,permitting complete separation of variables in the diagonalized dirac equation. Type (1.1)

Institute of High-Current Electronics, Siberian Branch of the Russian Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 31–34, June, 1992.     

Bianci-IX cosmological models with rotation in general relativity theory

Bianci-IX metrics have been used to obtain new exact solutions to the GRT equations, which may describe the early stages in the evolution of an expanding and rotating universe.Kaluga Branch, Bauman Moscow State Technical University. M. V. Lomonosov Moscow State University. Translated from Izvestiya Vysshikh Uchebnyk Zavedenii, Fizika, No. 9, pp. 122–127, September, 1994.     

Exact solutions of the equations of motions of quarks in a non-Abelian field of a flat color wave

Exact solutions of the equations of motion of quarks in a non-Abelian field of a flat color wave of a spectral configuration are obtained. The gauge field of the wave takes values from the SU(2) group and is an exact solution of the Yang-Mills equations.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 76–78, December, 1986.