Quantum falling charges

Computer Science

Scientific paper

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Scientific paper

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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