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ACCURATE AND EFFICIENT CALCULATION OF SINGULAR ELECTROSTATIC POTENTIALS IN CHARGE-DIELECTRIC SPHERICAL AND JANUS PARTICLE SYSTEMS
Title
ACCURATE AND EFFICIENT CALCULATION OF SINGULAR ELECTROSTATIC POTENTIALS IN CHARGE-DIELECTRIC SPHERICAL AND JANUS PARTICLE SYSTEMS
Author
Retz, Caylah
Date Created
2018
Subjects--Topical
Molecular biology, Mathematics, Physics
Description
We introduce an efficient and accurate boundary element method for computing the electrostatic potential in closely-packed dielectric spheres and Janus particles. Close physical proximity occurs in modeling molecular ion interactions or colloidal ...
Spectral theory of the Schrodinger operator on general graphs
Title
Spectral theory of the Schrodinger operator on general graphs
Author
Zheng, Lukun
Date Created
2015
Subjects--Topical
Mathematics, Physics
Description
The goal of this dissertation is to give the sufficient conditions for the absence of a.c.spectrum or existence of the pure point (p.p.) spectrum for the deterministic or random Schrodinger operators on the general graphs. For the particular situa...