Coherent states for the finite su(2)-oscillator model

A finite oscillator is a system that has a discrete and finite number of spatial positions and energy levels accessible. The su(2)-oscillator model takes the generators of the angular momentum su(2) algebra and, giving to each one a definite physical interpretation, provides a consistent mathematica...

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Bibliographic Details
Author: Vicent, LE
Format: article
Status:Published version
Publication Date:2006
Country:México
Institution:Universidad Nacional Autónoma de México
Repository:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/1331
Online Access:http://hdl.handle.net/11154/1331
Access Level:Open access
Keyword:Physics, Applied
Physics, Condensed Matter
Physics, Mathematical
finite oscillator
Kravchuk functions
Fourier-Kravchuk transform
generalized coherent states
finite signal processing
Description
Summary:A finite oscillator is a system that has a discrete and finite number of spatial positions and energy levels accessible. The su(2)-oscillator model takes the generators of the angular momentum su(2) algebra and, giving to each one a definite physical interpretation, provides a consistent mathematical description of a finite oscillator. This work searches an example of identification of generalized coherent states, within the collection of states and wavefunctions of the finite su(2) oscillator model.