Matter waves in a gravitational field: An index of refraction for massive particles in general relativity

Details Matter waves in a gravitational field: An index of refraction for massive particles in general relativity Matter waves in a gravitational field: An index of refraction for massive particles in general relativity

2001-07-18

arxiv.org/abs/gr-qc/0107063v1

Am.J.Phys. 69 (2001) 1103-1110

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, latex, ps and pdf. To appear in Am.J.Phys September, 2001

Scientific paper

10.1119/1.1389281

We consider the propagation of massive-particle de Broglie waves in a static, isotropic metric in general relativity. We demonstrate the existence of an index of refraction that governs the waves and that has all the properties of a classical index of refraction. We confirm our interpretation with a WKB solution of the general-relativistic Klein-Gordon equation. Finally, we make some observations on the significance of the optical action.

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