Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Level spacing of U(5) \leftrightarrow SO(6) transitional region with
  maximum likelihood estimation method   In this paper,a systematic study of quantum phase transition within U(5)
\leftrightarrow SO(6) limits is presented in terms of infinite dimensional
Algebraic technique in the IBM framework. Energy level statistics are
investigated with Maximum Likelihood Estimation (MLE) method in order to
characterize transitional region. Eigenvalues of these systems are obtained by
solving Bethe-Ansatz equations with least square fitting processes to
experimental data to obtain constants of Hamiltonian. Our obtained results
verify the dependence of Nearest Neighbor Spacing Distribution's (NNSD)
parameter to control parameter (c_{s}) and also display chaotic behavior of
transitional regions in comparing with both limits. In order to compare our
results for two limits with both GUE and GOE ensembles, we have suggested a new
NNSD distribution and have obtained better KLD distances for the new
distribution in compared with others in both limits. Also in the case of
N\to\infty, the total boson number dependence displays the universality
behavior, namely NNSD tends to Poisson limit for every values of control
parameter.

31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th