On occurrence of spectral edges for periodic operators inside the Brillouin zone

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On occurrence of spectral edges for periodic operators inside the Brillouin zone

The article discusses the following frequently arising question on the spectral structure of periodic operators of mathematical physics (e.g., Schrödinger, Maxwell, waveguide operators, etc.). Is it true that one can obtain the correct spectrum by using the values of the quasimomentum running over the boundary of the (reduced) Brillouin zone only, rather than the whole zone? Or, do the edges of...

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ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical

سال: 2007

ISSN: 1751-8113,1751-8121

DOI: 10.1088/1751-8113/40/27/011