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Quantization of Geodesic Deviation

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Unstable Systems

Part of the book series: Mathematical Physics Studies ((MPST))

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Abstract

The Hamilton equations for Hamiltonian systems of the type discussed, for example, by Gutzwiller (Gutzwiller 1990) and Curtiss and Miller (Curtiss and Miller 1985), with Hamiltonian of the form.

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Notes

  1. 1.

    Such a system may be thought of as an idealized model for a real unstable physical system coupled, for example, to the vacuum fluctuations associated with a real physical system. Geodesic instability is associated with fluctuations of orbit due to effects not included in such a model. The theory presented here takes such fluctuations into account in a systematic way.

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Correspondence to Lawrence Horwitz .

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Horwitz, L., Strauss, Y. (2020). Quantization of Geodesic Deviation. In: Unstable Systems. Mathematical Physics Studies. Springer, Cham. https://doi.org/10.1007/978-3-030-31570-2_5

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