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

Fernández-Rañada, Antonio2023-06-202023-06-202003-04-280375-960110.1016/S0375-9601(03)00443-2https://hdl.handle.net/20.500.14352/51007© 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.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.engInterplay of topology and quantization: topological energy quantization in a cavityjournal articlehttp://dx.doi.org/10.1016/S0375-9601(03)00443-2http://www.sciencedirect.comhttp://arxiv.org/abs/quant-ph/0303033open access537Electromagnetism.ElectricidadElectrónica (Física)2202.03 Electricidad