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

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

2011-12-11

arxiv.org/abs/1112.2343v1

J. Phys. A: Math. Theor. 42, 045403 (2009)

Physics

Quantum Physics

arXiv admin note: substantial text overlap with arXiv:0710.1942

Scientific paper

10.1088/1751-8113/42/4/045403

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.

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