Spatial confinement effects on quantum harmonic oscillator I: Nonlinear   coherent state approach
  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. 
M. Bagheri Harouni, R. Roknizadeh, M. H. Naderi
quant-ph