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March 1, 2018 | 1:00 p.m. - 2:00 p.m.
Category: Seminar
Location: Faculty/Administration #1146 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free

Speaker:  Lewei Zhao, PhD Candidate, Wayne State University

Title: Localization of Schrodinger Eigenfunctions Under Inverse Square Potential for Circular Domain

Abstract: We consider the eigenfunctions of the Schrodinger operator with inverse square potential on d-dim ball, circular spherical shells and sector to discuss two kinds of high-frequency localization : whispering gallery modes and focusing modes. Using properties of Bessel functions of any real order, we generalized existed proof from Laplacian operator to Schrodinger operator.  In the future work, we are thinking about generalizing another localization  called Bouncing Ball Modes of Laplacian operator from ellipse to a disk.


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