The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.33, sa.11, ss.2209-2222, 2000 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33 Sayı: 11
- Basım Tarihi: 2000
- Doi Numarası: 10.1088/0305-4470/33/11/304
- Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.2209-2222
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
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.