English

Spatial confinement effects on quantum harmonic oscillator I: Nonlinear coherent state approach

Quantum Physics 2011-12-13 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1112.2343,
  title  = {Spatial confinement effects on quantum harmonic oscillator I: Nonlinear coherent state approach},
  author = {M. Bagheri Harouni and R. Roknizadeh and M. H. Naderi},
  journal= {arXiv preprint arXiv:1112.2343},
  year   = {2011}
}

Comments

arXiv admin note: substantial text overlap with arXiv:0710.1942

R2 v1 2026-06-21T19:49:20.601Z