Spatial confinement effects on quantum field theory using nonlinear coherent states approach

Details Spatial confinement effects on quantum field theory using nonlinear coherent states approach Spatial confinement effects on quantum field theory using nonlinear coherent states approach

2007-10-10

arxiv.org/abs/0710.1942v1

J.Phys.A42:045403,2009

Physics

Quantum Physics

Scientific paper

10.1088/1751-8113/42/4/045403

We study some basic quantum confinement effects through investigation 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. Using the deformed algebra, we construct a quantum field theory in confined space. In particular, we find that the confinement influences on some physical properties of the electromagnetic field and it gives rise to nonlinear interaction. Furthermore, we propose a physical scheme to generate the nonlinear coherent states associated with the electromagnetic field in a confined region.

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