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

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2003-04-28
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Elsevier
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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 electromagnetic radiation in a cubic cavity is epsilon = (d/4)homega where d is a topological integer index equal to the degree of a map between two orbifolds.
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© 2003 Elsevier Science BV. I am indebted to Dr. J.L. Trueba and Prof. A. Tiemblo for discussions and encouragements and to Profs. J.M. Montesinos and A. Ibort for help on the mathematical aspects of this work. I am also thankful to referee 1 for his/her helpful criticism.
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