The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform

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buir.contributor.authorHaldun M. Özaktaş
dc.citation.epage2222en_US
dc.citation.issueNumber11en_US
dc.citation.spage2209en_US
dc.citation.volumeNumber33en_US
dc.contributor.authorBarker, L.
dc.contributor.authorCandan, C.
dc.contributor.authorHakioğlu, T.
dc.contributor.authorKutay, M. A.
dc.contributor.authorÖzaktaş, Haldun M.
dc.date.accessioned2016-02-08T10:38:38Z
dc.date.available2016-02-08T10:38:38Z
dc.date.issued2000en_US
dc.departmentDepartment of Mathematicsen_US
dc.departmentDepartment of Physicsen_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractCertain solutions to Harper's equation are discrete analogues of (and approximations to) the Hermite-Gaussian functions. They are the energy eigenfunctions of a discrete algebraic analogue of the harmonic oscillator, and they lead to a definition of a discrete fractional Fourier transform (FT). The discrete fractional FT is essentially the time-evolution operator of the discrete harmonic oscillator.en_US
dc.identifier.doi10.1088/0305-4470/33/11/304en_US
dc.identifier.issn0305-4470
dc.identifier.urihttp://hdl.handle.net/11693/25066
dc.language.isoEnglishen_US
dc.publisherInstitute of Physics Publishingen_US
dc.relation.isversionofhttp://dx.doi.org/10.1088/0305-4470/33/11/304en_US
dc.source.titleJournal of Physics A: Mathematical and Generalen_US
dc.titleThe discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transformen_US
dc.typeArticleen_US

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