"Explorations In Quantum Chaos" by Cole Bernard Cecchetto

Date of Submission

Fall 2020

Academic Program

Physics

Project Advisor 1

Hal Haggard

Abstract/Artist's Statement

This report details investigations into quantum chaos, starting with an exploration of chaotic motion in classical mechanics and ending with a statement of Wigner's surmise. While introducing the prerequisite concepts with a historical frame of reference, the bulk of the paper deals with a method for producing probability amplitude graphs for quantum billiards, the so-called expansion method. Applications of this method lead to faulty results. These are covered in detail and speculation about the issues with implementation are offered.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

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