Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coherent states on a circle: the Higgs-like approach   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.

34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th