Spectra of Periodic Schrödinger Operators on the Octagonal Lattice
We consider the spectrum of the Schrödinger operator on an octagonal lattice using the Floquet-Bloch transform of the Laplacian. We will first consider the spectrum of the Laplacian in detail and prove various properties thereof, including spectral-band limits and locations of singularities. In addi...
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| Format: | Others |
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Virginia Tech
2020
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| Online Access: | http://hdl.handle.net/10919/99147 |