Date Thesis Awarded
7-2012
Access Type
Honors Thesis -- Access Restricted On-Campus Only
Degree Name
Bachelors of Science (BS)
Department
Mathematics
Advisor
Junping Shi
Committee Members
Joshua Erlich
Daniel Vasiliu
Gexin Yu
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.
Recommended Citation
King, Patrick, "The Laplacian on Isotropic Quantum Graphs: Solutions and Applications" (2012). Undergraduate Honors Theses. William & Mary. Paper 503.
https://scholarworks.wm.edu/honorstheses/503
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Comments
Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.