Coherent states, even and odd coherent states in a finite-dimensional Hilbert space and their properties

摘要

We have considered a harmonic oscillator in a finite-dimensional Hilbert space spanned by orthogonal polynomials of a discrete variable and constructed coherent states as well as even and odd coherent states of this oscillator. Various properties such as squeezing and antibunching of these states have also been examined. [References: 41]