Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cat-States in the Framework of Wigner-Heisenberg Algebra   A one-parameter generalized Wigner-Heisenberg algebra( WHA) is reviewed in
detail. It is shown that WHA verifies the deformed commutation rule $[\hat{x},
\hat{p}_{\lambda}] = i(1 + 2\lambda \hat{R})$ and also highlights the dynamical
symmetries of the pseudo-harmonic oscillator( PHO). \textbf{The present article
is devoted to the study of new cat-states} built from $\lambda$-deformed
Schr\"{o}dinger coherent states, which according to the Barut-Girardello scheme
are defined as the eigenstates of the generalized annihilation operator.
Particular attention is devoted to the limiting case where the Schr\"{o}dinger
cat states are obtained. Nonclassical features and quantum statistical
properties of these states are studied by evaluation of Mandel's parameter and
quadrature squeezing with respect to the $\lambda-$deformed canonical pairs $(
\hat{x}, \hat{p}_{\lambda})$. It is shown that these states minimize the
uncertainty relations of each pair of the $su(1,1)$ components.

20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th