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

Antonio F. Ranada

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arXiv · quant-ph/0303033

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

Antonio F. Ranada

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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 $E=(d/4)\hbar ω$ where $d$ is a topological index equal to the degree of a map between two orbifolds.

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Antonio F. Ranada. 2003-03-07. Interplay of topology and quantization: topological energy quantization in a cavity. https://arxiv.org/abs/quant-ph/0303033

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