Diffraction from moving gratings: negative energy solutions and relativistic effects

Diffraction from gratings moving at constant speed is calculated for electromagnetic, Klein–Gordon, and Schrödinger dispersion relations. Applicability of the results to relativistic and superluminal grating speeds is discussed. Negative total energy solutions for particles of non-zero rest mass are...

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Bibliographic Details
Published in:Physics letters. A 2006-03, Vol.352 (1), p.59-63
Main Authors: Kowalski, B.A., Kowalski, F.V.
Format: Article
Language:English
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Summary:Diffraction from gratings moving at constant speed is calculated for electromagnetic, Klein–Gordon, and Schrödinger dispersion relations. Applicability of the results to relativistic and superluminal grating speeds is discussed. Negative total energy solutions for particles of non-zero rest mass are obtained along with static and near static inhomogeneous plane wavefunction solutions. A possible test of the Ehrenfest paradox, using a rotating radial grating, is also discussed.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2005.11.060