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Quantum Mechanics in Riemannian Space-Times. I. The Canonical Approach

E. A. Tagirov
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Abstract

This paper is the first of two papers devoted to formulation of quantum mechanics of a particle in a normal geodesic frame of reference in the general Riemannian space-time. Here canonical quantization of geodesic motion in the 1+3-formalism is considered, the result of which will be compared in the subsequent paper II with that of the field-theoretical approach, see also gr-qc/9807030. The Schrödinger representation of quantum-mechanical kinematics and dynamics is presented in the general-covariant form and a physical interpretation of the state vectors and the position operators is discussed.

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E. A. Tagirov. 1999-01-11. Quantum Mechanics in Riemannian Space-Times. I. The Canonical Approach. https://arxiv.org/abs/gr-qc/9812084

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