The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform
Date
2000
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
BUIR Usage Stats
2
views
views
39
downloads
downloads
Citation Stats
Series
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.
Source Title
Journal of Physics A: Mathematical and General
Publisher
Institute of Physics Publishing
Course
Other identifiers
Book Title
Keywords
Degree Discipline
Degree Level
Degree Name
Citation
Permalink
Published Version (Please cite this version)
Language
English