Finite oscillator obtained through finite frame quantization
Mathematical Physics
2013-08-27 v3 math.MP
Quantum Physics
Abstract
The Hamiltonian of the harmonic oscillator is usually defined as a differential operator, but an integral representation can be obtained by using the coherent state quantization. The finite frame quantization is a finite counterpart of the coherent state quantization and it allows us to define a finite oscillator by starting from the integral representation of the harmonic oscillator. Our purpose is to investigate the oscillator obtained in this way, and to present a possible application to the discrete fractional Fourier transform.
Cite
@article{arxiv.1301.0704,
title = {Finite oscillator obtained through finite frame quantization},
author = {Nicolae Cotfas and Daniela Dragoman},
journal= {arXiv preprint arXiv:1301.0704},
year = {2013}
}
Comments
Several new results and figures have been added