Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector coherent states with matrix moment problems   Canonical coherent states can be written as infinite series in powers of a
single complex number $z$ and a positive integer $\rho(m)$. The requirement
that these states realize a resolution of the identity typically results in a
moment problem, where the moments form the positive sequence of real numbers
$\{\rho(m)\}_{m=0}^\infty$. In this paper we obtain new classes of vector
coherent states by simultaneously replacing the complex number $z$ and the
moments $\rho(m)$ of the canonical coherent states by $n \times n$ matrices.
Associated oscillator algebras are discussed with the aid of a generalized
matrix factorial. Two physical examples are discussed. In the first example
coherent states are obtained for the Jaynes-Cummings model in the weak coupling
limit and some physical properties are discussed in terms of the constructed
coherent states. In the second example coherent states are obtained for a
conditionally exactly solvable supersymmetric radial harmonic oscillator.

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The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con