Coherent states on a circle: the Higgs-like approach
- URL: http://arxiv.org/abs/2109.02251v1
- Date: Mon, 6 Sep 2021 06:00:46 GMT
- Title: Coherent states on a circle: the Higgs-like approach
- Authors: Ali Mahdifar, Ehsan Amooghorban
- Abstract summary: We analyze the quantum dynamics of a harmonic oscillator constrained on a circle.
We construct the coherent states on the circle and investigate their quantum statistical properties.
We find that such states show nonclassical features like squeezing and sub-Poissonian statistics even in small curvatures of the circle.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this paper, the Higgs-like approach is used to analyze the quantum
dynamics of a harmonic oscillator constrained on a circle. We obtain the
Hamiltonian of this system as a function of the Cartesian coordinate of the
tangent line through the gnomonic projection and then quantize it in the
standard way. We then recast the Hamiltonian in a shape-invariant form and
derive the spectrum energy of the confined harmonic oscillator on the circle.
With help of the f-deformed oscillator algebra, we construct the coherent
states on the circle and investigate their quantum statistical properties. We
find that such states show nonclassical features like squeezing and
sub-Poissonian statistics even in small curvatures of the circle.
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