Soviet Physics Journal

, Volume 19, Issue 5, pp 605–609 | Cite as

Quantum theory of gravitation and the dynamics of nonrelativistic quantum systems

  • Yu. M. Maksimov
Article

Abstract

We consider in the present article the consequences of a purely geometrical interpretation of a quantized gravitational field. We show that this interpretation implies, firstly, the rejection of the probabilistic interpretation of the amplitudes of the states in the field and, secondly, the interpretation of physical systems, which interact only with the gravitational field, as closed (isolated) systems. This makes it necessary to describe the motion of a closed system by some equation for the density matrix; the equation is a generalization of the general Schrödinger-Neumann equation. An equation was found for the density matrix of nonrelativistic systems. When compared with the Schrödinger -Neumann equation, the new equation contains two additional terms. The first of these terms describes the usual gravitational interaction in the system under consideration. The meaning of the second term is illustrated by way of an elementary example which shows that the term leads to effects which are normally interpreted as reduction of a wave packet.

Keywords

Density Matrix Quantum Theory Present Article Quantum System Wave Packet 

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Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • Yu. M. Maksimov
    • 1
  1. 1.Komsomol on Amur. State Pedagogic InstituteUSSR

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