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 Wentzel-Kramers-Brillouin solution of the general-relativistic Klein-Gordon equation. Finally, we make some observations on the significance of the optical action. (C) 2001 American Association of Physics Teachers. [References: 24]
展开▼
