Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approach of the Generating Functions to the Coherent States for Some
  Quantum Solvable Models   We introduce to this paper new kinds of coherent states for some quantum
solvable models: a free particle on a sphere, one-dimensional
Calogero-Sutherland model, the motion of spinless electrons subjected to a
perpendicular magnetic field B, respectively, in two dimensional flat surface
and an infinite flat band. We explain how these states come directly from the
generating functions of the certain families of classical orthogonal
polynomials without the complexity of the algebraic approaches. We have shown
that some examples become consistent with the Klauder- Perelomove and the
Barut-Girardello coherent states. It can be extended to the non-classical,
q-orthogonal and the exceptional orthogonal polynomials, too. Especially for
physical systems that they don't have a specific algebraic structure or
involved with the shape invariance symmetries, too.

28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: stat