Gaussian Quantum States in Discrete Phase Space
Public Deposited- Resource Type
- Creator
- Abstract
Gaussian states play a central role in continuous quantum mechanics, and an appropriate generalization might play a similar role in discrete quantum mechanics. A common-sense discretization of these turns out to be trivial. In this work, we describe two new discretizations based on recent developments in discrete phase space methods. We also extend existing notions of convergence between continuous and discrete systems and apply some of them to our constructions. Accompanying this work is a numerical software package "qWeyl" which we use to give examples and provide visualizations.
- Subject
- Language
- Publisher
- Thesis Degree Level
- Thesis Degree Name
- Thesis Degree Discipline
- Identifier
- Rights Notes
Copyright © 2020 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner.
- Date Created
- 2020
Relations
- In Collection:
Items
Thumbnail | Title | Date Uploaded | Visibility | Actions |
---|---|---|---|---|
zanussi-gaussianstatesindiscretequantumphasespace.pdf | 2023-05-05 | Public | Download |