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Random and small-scale quantum ergodicity

Description:

This thesis contains results in mathematical quantum ergodicity in a probabilistic or a complex analytic setting. For the former, we show that a random orthonormal basis of spherical harmonics is almost surely quantum ergodic, in which the randomness is induced by the generalized Wigner ensemble. For the latter, we show...

Keyword:

Eigenfunction, Quantum ergodicity, Microlocal analysis, and Grauert tube

Subject:

Mathematics, Quantum physics, and Plasma physics

Creator:

Chang, Hsiang

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

02/12/2020

Date Created:

2019-01-01

Resource Type:

Dissertation

Alternate Identifier:

http://dissertations.umi.com/northwestern:14574 and etdadmin_upload_658290