10,493 research outputs found
Groundstate with Zero Eigenvalue for Generalized Sombrero-shaped Potential in -dimensional Space
Based on an iterative method for solving the goundstate of Schroedinger
equation, it is found that a kind of generalized Sombrero-shaped potentials in
N-dimensional space has groundstates with zero eigenvalue. The restrictions on
the parameters in the potential are discussed.Comment: 8 pages, 3 figure
Empirical Study of Deep Learning for Text Classification in Legal Document Review
Predictive coding has been widely used in legal matters to find relevant or
privileged documents in large sets of electronically stored information. It
saves the time and cost significantly. Logistic Regression (LR) and Support
Vector Machines (SVM) are two popular machine learning algorithms used in
predictive coding. Recently, deep learning received a lot of attentions in many
industries. This paper reports our preliminary studies in using deep learning
in legal document review. Specifically, we conducted experiments to compare
deep learning results with results obtained using a SVM algorithm on the four
datasets of real legal matters. Our results showed that CNN performed better
with larger volume of training dataset and should be a fit method in the text
classification in legal industry.Comment: 2018 IEEE International Conference on Big Data (Big Data
Elastic parton scattering and non-statistical event-by-event mean-pt fluctuations in Au + Au collisions at RHIC
Non-statistical event-by-event mean-pt fluctuations in Au + Au collisions at
sqrt(s_NN) = 130 and 200 GeV are analyzed in AMPT with string-melting, and the
results are compared with STAR data. The analysis suggests that in-medium
elastic parton scattering may contribute greatly to the mean-p_t fluctuations
in relativistic heavy-ion collisions. Furthermore, it is demonstrated that
non-statistical event-by-event mean-pt fluctuations can be used to probe the
initial partonic dynamics in these collisions. The comparison shows that with
an in-medium elastic parton scattering cross section sigma_p=10 mb, AMPT with
string-melting can well reproduce sqrt(s_NN) = 130 GeV data on the centrality
dependence of non-statistical event-by-event mean-pt fluctuations. The
comparison also shows that the fluctuation data for sqrt(s_NN) = 200 GeV Au +
Au collisions can be well reproduced with sigma_p between 6 and 10 mb.Comment: 6 pages, 3 figure
Iterative Solutions for Low Lying Excited States of a Class of Schroedinger Equation
The convergent iterative procedure for solving the groundstate Schroedinger
equation is extended to derive the excitation energy and the wave function of
the low-lying excited states. The method is applied to the one-dimensional
quartic potential problem. The results show that the iterative solution
converges rapidly when the coupling is not too small.Comment: 14 pages, 4 figure
The Friedberg-Lee model at finite temperature and density
The Friedberg-Lee model is studied at finite temperature and density. By
using the finite temperature field theory, the effective potential of the
Friedberg-Lee model and the bag constant and have been
calculated at different temperatures and densities. It is shown that there is a
critical temperature when
and a critical chemical potential for fixing
the temperature at . We also calculate the soliton solutions
of the Friedberg-Lee model at finite temperature and density. It turns out that
when (or ), there is a bag constant (or
) and the soliton solutions are stable. However, when (or
) the bag constant (or ) and there is no soliton solution anymore, therefore, the
confinement of quarks disappears quickly.Comment: 12 pages, 11 figures; version accepted for publication in Phys. Rev.
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