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The Laplacian on Isotropic Quantum Graphs: Solutions and Applications

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Author: King, Patrick
Advisor: Shi, Junping
Committee Members: Erlich, Joshua; Vasiliu, Daniel; Yu, Gexin
Issued Date: 7/17/2012
Subjects: Quantum Graph
Spectral Theory
Analysis on Graphs
Applied Analysis
Partial Differential Equations
Mathematical Physics
URI: http://hdl.handle.net/10288/16740
Description: 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.
Degree: Bachelors of Science in Mathematics

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