The Quantization of Geodesic Deviation

Details The Quantization of Geodesic Deviation The Quantization of Geodesic Deviation

1999-03-27

arxiv.org/abs/gr-qc/9903097v1

Gen.Rel.Grav.28:1385-1392,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, no diagrams, no tables, LaTex2e

Scientific paper

10.1007/BF02109528

There exists a two parameter action, the variation of which produces both the geodesic equation and the geodesic deviation equation. In this paper it is shown that this action can be quantized by the canonical method, resulting in equations which generalize the Klein-Gordon equation. The resulting equations might have applications, and also show that entirely unexpected systems can be quantized. The possible applications of quantized geodesic deviation are to: i)the spreading wave packet in quantum theory, ii)and also to the one particle to many particle problem in second quantized quantum field theory.

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