Summary
The quantum mechanical analog of the problem of a charged particle falling in a gravitational field is studied in order to compare quantum and classical results. The interaction considered is that between a charged scalar meson and an external gravitational field resulting in the emission of a photon. It is found that the differential cross section and energy loss agree with the classical results for a low energy meson. A brief discussion of radiative corrections to the meson-gravitational field interaction is given in order to point out a difficulty which apparently arises when the cut-off method of handling divergent integrals is used.
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For a complete account of this work see the thesis of W. G. Wesley under the same title, available in microfilm from University Microfilms Xerox Company, 300 North Zeeb Road, Ann Arbor, Michigan 48106.
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De Witt, C.M., Wesley, W.G. Quantum falling charges. Gen Relat Gravit 2, 235–245 (1971). https://doi.org/10.1007/BF00763768
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DOI: https://doi.org/10.1007/BF00763768