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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 Einsteins equations for the curved space-time. Einsteins 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" Einsteins 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

Please cite this article in English as:
Kirchanov V.S. The Geometrization of the Phase Space. Space, Time and Fundamental Interactions, 2018, no. 4, pp. 92-103.