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Empirical Measures for Integrable Eigenfunctions Restricted to Invariant Curves

Description:

We introduce empirical measures to study the $L^2$ norms of restrictions of quantum integrable eigenfunctions to the unique rotationally invariant geodesic $H$ on a convex surface of revolution. The weak* limit of these measures describes the dependence of their size on $H$ in terms of the angular momentum. The limit...

Keyword:

convex surface of revolution, asymptotics, eigenfunctions, empirical measure, and spectrum

Subject:

Mathematics

Creator:

Geis, Michael Leamy

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

09/22/2022

Date Created:

2022-01-01

Resource Type:

Dissertation

Alternate Identifier:

http://dissertations.umi.com/northwestern:16276 and etdadmin_upload_929536