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The Laplacian on Isotropic Quantum Graphs: Solutions and Applications
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Abstract
The quantum graph has been demonstrated to be widely applicable in the field of mathematical physics. The Laplacian in particular has use everywhere from quantum mechanics to wave phenomena. Restricting our study to several classes of isotropic quantum graphs, where every edge is the same length, we present complete solutions of several of these complete graphs.
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Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.
Date
2012-07-17
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Keywords
Quantum Graph, Spectral Theory, Analysis on Graphs, Applied Analysis, Partial Differential Equations, Mathematical Physics