Quantum Integrable Systems and Special Functions Arising from Separation of Variables

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Open Access

Field	Value	Language
dc.contributor.author	Dawson, Sean
dc.date.accessioned	2024-09-02T03:55:11Z
dc.date.available	2024-09-02T03:55:11Z
dc.date.issued	2024	en
dc.identifier.uri	https://hdl.handle.net/2123/33038
dc.description.abstract	In this thesis, we study three families of quantum integrable systems and the corresponding special functions that arise from separation of variables. By analysing the respective classical systems, we are able to elucidate connections between the classical and quantum systems, their symmetries and the latter’s associated special functions.	en
dc.language.iso	en	en
dc.subject	Integrable Systems	en
dc.subject	Quantum Mechanics	en
dc.subject	Special Functions	en
dc.subject	Separation of Variables	en
dc.subject	Symplectic Geometry	en
dc.subject	Classical Mechanics	en
dc.title	Quantum Integrable Systems and Special Functions Arising from Separation of Variables	en
dc.type	Thesis
dc.type.thesis	Doctor of Philosophy	en
dc.rights.other	The author retains copyright of this thesis. It may only be used for the purposes of research and study. It must not be used for any other purposes and may not be transmitted or shared with others without prior permission.	en
usyd.faculty	SeS faculties schools::Faculty of Science	en
usyd.degree	Doctor of Philosophy Ph.D.	en
usyd.awardinginst	The University of Sydney	en
usyd.advisor	Dullin, Holger