The Propagation of de Broglie Waves in Rindler Space

TL;DR

This paper investigates how de Broglie matter waves propagate in Rindler space, deriving a space-dependent refractive index and exploring particle emission from black hole horizons as seen from accelerated frames.

Contribution

It introduces a formalism for the space-dependent refractive index of de Broglie waves in Rindler space and discusses particle emission from black hole horizons in accelerated frames.

Findings

Derived a formalism for space-dependent refractive index of matter waves

Showed the possibility of particle emission from black hole horizons in accelerated frames

Analyzed propagation of matter waves in Rindler space

Abstract

In this article we have studied the propagation of matter waves in Rindler space. We have also developed the formalism to obtained space dependent refractive index for de Broglie waves for the particle and shown the possibility of particle emission from the event horizon of classical black holes, when observed from a uniformly accelerated frame.