2018, no. 4

### THE GEOMETRIZATION OF THE PHASE SPACE

#### Kirchanov V.S.

The equation of the Klein-Gordon-Fock in a curved 4-momentum space. As part geometrization launched an analogue of the Einstein equations in the pseudo 4-momentum space, which are "dual" to Einstein’s equations for the curved space-time. Einstein’s equations are also obtained for the complex phase space, consisting of a pseudo space-time and 4-momentum space. Shows Hermitian Bergman metric for the ball in the phase space.

Keywords: pseudo Riemann 4- momentum space, "dual" Einstein’s equation, complex pseudo Riemann-phase space, Bergman metric.

UDC: 530.12

PACS: 95.30.sf

DOI: DOI: 10.17238/issn2226-8812.2018.4.92-103