Quantum Dynamics Using Lie Algebras, with Explorations in the Chaotic Behavior of Oscillators

We study the time evolution of driven quantum systems using analytic, algebraic, and numerical methods. First, we obtain analytic solutions for driven free and oscillator systems by shifting the coordinate and phase of the undriven wave function. We also factorize the quantum evolution operator usin...

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Bibliographic Details
Main Author: Sayer, Ryan Thomas
Format: Others
Published: BYU ScholarsArchive 2012
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/3285
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4284&context=etd