College - Author 1
College of Science and Mathematics
Department - Author 1
Mathematics Department
Degree Name - Author 1
BS in Mathematics
Date
6-2013
Primary Advisor
Jonathan Shapiro
Abstract/Summary
We explore the basic mathematical physics of quantum mechanics. Our primary focus will be on Hilbert space theory and applications as well as the theory of linear operators on Hilbert space. We show how Hermitian operators are used to represent quantum observables and investigate the spectrum of various linear operators. We discuss deviation and uncertainty and briefly suggest how symmetry and representations are involved in quantum theory.
URL: https://digitalcommons.calpoly.edu/mathsp/5
Included in
Analysis Commons, Other Mathematics Commons, Other Physical Sciences and Mathematics Commons, Quantum Physics Commons