Refraction in spacetime

Details Refraction in spacetime Refraction in spacetime

2010-12-21

arxiv.org/abs/1012.4544v1

Am. J. Phys. 79, 672 (2011)

Physics

Quantum Physics

7 pages, 4 figures, RevTex4.1. This article has been conditionally accepted by the American Journal of Physics. After it is pu

Scientific paper

10.1119/1.3553459

Refraction, interference, and diffraction serve as distinguishing features for wave-like phenomena. While they are normally associated only with a purely spatial wave-propagation pattern, analogs to interference and diffraction involving the spatio-temporal dynamics of waves in one dimension (1D) have been pointed out. Here we complete the triplet of analogies by discussing how spatio-temporal analogs to refraction are exhibited by a quantum particle in 1D that is scattering off a step barrier. Similarly, birefringence in spacetime occurs for a spin-1/2 particle in a magnetic field. These examples serve to illustrate basics of quantum time evolution from a new perspective.

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