# Browse Dissertations and Theses - Mathematics by Subject "Harmonic oscillator"

• (2017-07-11)
In Part I, we aim to maximize the number of first-quadrant lattice points under a concave (or convex) curve with respect to reciprocal stretching in the coordinate directions. The optimal domain is shown to be asymptotically ...

application/pdf

PDF (853kB)
• (2014-05-30)
In this dissertation we study how the energy levels of the Laplacian depend upon the shape of the domain, and identify the ground state energy level of the magnetic Laplacian on the disk. Although we consider these different ...

application/pdf

PDF (827kB)