  In this paper we study some basic quantum confinement effects through
investigation of a deformed harmonic oscillator algebra. We show that spatial
confinement effects on a quantum harmonic oscillator can be represented by a
deformation function within the framework of nonlinear coherent states theory.
We construct the coherent states associated with the spatially confined quantum
harmonic oscillator in a one-dimensional infinite well and examine some of
their quantum statistical properties, including sub-poissonian statistics and
quadrature squeezing.
