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Interplay of topology and quantization: topological energy quantization in a cavity

2003/03/07 by Antonio Fernández Rañada, Antonio F. Ranada, Ranada, Antonio F.
Engineering · Physics and Astronomy · #Mechanical and Optical Resonators #Photonic and Optical Devices #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0303033

17 pages, no figures, to be published in Physics Letters A

arxiv created 2003/03/07 · arxiv updated 2009/12/01

Abstract

The interplay between quantization and topology is investigated in the frame of a topological model of electromagnetism proposed by the author. In that model, the energy of monochromatic electromagnetic radiation in a cubic cavity is E=(d/4)ℏ ω where d is a topological index equal to the degree of a map between two orbifolds.

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