arXiv subjects

Athanasios N. Petridis

Publications and source records attributed to Athanasios N. Petridis.

3 recordsLinked to original sources

arXiv2004

An Exact Solution to the Time-dependent Schrodinger Equation for a Model One-dimensional Potential

Analytical solutions to the time-dependent Shrödinger equation in one dimension are developed for time-independent potentials, one consisting of an infinite wall and a repulsive delta function. An exact solution is obtained by means of a convolution of time-independent solutions spanning the given Hilbert space with appropriately chosen spectral functions. Square-integrability and the boundary conditions are satisfied. The probability for the particle to be found inside the potential well is calculated and shown to exhibit non-exponential decay decreasing at large times as $t^{-3}$. The result is generalized for all square-integrable solutions to this problem.

quant-ph↗

arXiv2000

Statistical Behavior of Finite-Size Partially Equilibrated Systems

We examine deviations from Boltzmann-Gibbs statistics for partially equilibrated systems of finite size. We find that such systems are characterized by the Levy distribution whose non-extensivity parameter is related to the number of internally equilibrated subsystems and to correlations among them. This concept is applied to Quark-Gluon Plasma formation.

nucl-th↗

arXiv1999

Information Theory, Quark Clusters in Nuclei, and Parton Distributions

The procedure of maximization of information entropy can be used to improve our knowledge of parton distributions. This method has been applied in order to achieve improved description of the nuclear effect in Y production due to gluon distribution modification in nuclei.

nucl-th↗