Exact and quasiexact solvability of second order superintegrable quantum systems. II. Relation to separation of variables

Simple item page
dc.contributor.authorKalnins, Ernie G.
dc.contributor.authorMiller, W., Jr.
dc.contributor.authorPogosyan, G.S.
dc.date.accessioned2008-10-24T03:47:49Z
dc.date.available2008-10-24T03:47:49Z
dc.date.issued2007-02
dc.description.abstractWe make explicit the intimate relationship between quasiexact solvability, as expounded, for example, by Ushveridze [Quasi-exactly Solvable Models in Quantum Mechanics (IOP, Bristol, 1993)], and the technique of separation of variables as it applies to specific superintegrable quantum Hamiltonians. It is the multiseparability of superintegrable systems that forces the existence of interesting families of polynomial solutions characteristic of quasiexact solvability that enables us to solve these systems in distinct ways and that gives us the basis of a classification theory. This connection is generalized in terms of the understanding of the role of finite solutions of quantum Hamiltoniansen_US
dc.format.mimetypeapplication/pdf
dc.identifier.citationKalnins, E.G., Miller, W., Jr. & Pogosyan, G.S. (2007). Exact and quasiexact solvability of second order superintegrable quantum systems. II. Relation to separation of variables. Journal of Mathematical Physics, 48, 023503.en_US
dc.identifier.doi10.1063/1.2436733en_US
dc.identifier.issn0022-2488
dc.identifier.urihttps://hdl.handle.net/10289/1150
dc.language.isoen
dc.publisherAmerican Institute of Physicsen_NZ
dc.relation.isPartOfJournal of Mathematical Physicsen_NZ
dc.relation.urihttp://link.aip.org/link/?JMAPAQ/48/023503/1en_US
dc.rightsCopyright 2007 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jspen_US
dc.subjectMathematicsen_US
dc.subjectquantum theoryen_US
dc.subjectpolynomialsen_US
dc.titleExact and quasiexact solvability of second order superintegrable quantum systems. II. Relation to separation of variablesen_US
dc.typeJournal Articleen_US
pubs.begin-page023503en_NZ
pubs.elements-id32679
pubs.end-page023503en_NZ
pubs.issue2en_NZ
pubs.volume48en_NZ
uow.identifier.article-noARTN 023503en_NZ
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Kalnins exact.pdf
Size:
196.19 KB
Format:
Adobe Portable Document Format
Thumbnail Image
Name: Kalnins exact.pdf
Size: 196.19 KB
Kind: Adobe PDF
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.8 KB
Format:
Item-specific license agreed upon to submission
Description:
Name: license.txt
Size: 1.8 KB
Kind: License
Collections
Computing and Mathematical Sciences Papers