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

Laurence Barker; Çaǧatay Candan; Tuǧrul Hakioǧlu; M. Alper Kutay; Haldun M. Ozaktas

doi:10.1088/0305-4470/33/11/304

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

Laurence Barker^*
, Çaǧatay Candan
, Tuǧrul Hakioǧlu
, M. Alper Kutay
, Haldun M. Ozaktas

^*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

69 Atıf (Scopus)

Özet

Certain 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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	2209-2222
Sayfa sayısı	14
Dergi	Journal of Physics A: Mathematical and General
Hacim	33
Basın numarası	11
DOI'lar	https://doi.org/10.1088/0305-4470/33/11/304
Yayın durumu	Yayınlandı - 24 Mar 2000
Harici olarak yayınlandı	Evet

Belgeye Erişim

10.1088/0305-4470/33/11/304

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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abstract = "Certain 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.",

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AU - Candan, Çaǧatay

AU - Hakioǧlu, Tuǧrul

AU - Kutay, M. Alper

AU - Ozaktas, Haldun M.

PY - 2000/3/24

Y1 - 2000/3/24

N2 - Certain 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.

AB - Certain 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.

UR - https://www.scopus.com/pages/publications/0034708297

U2 - 10.1088/0305-4470/33/11/304

DO - 10.1088/0305-4470/33/11/304

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JO - Journal of Physics A: Mathematical and General

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

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap