24 research outputs found
Correlation functions in the factorization approach of nonextensive quantum statistics
We study the long range behavior of a gas whose partition function depends on
a parameter q and it has been claimed to be a good approximation to the
partition function proposed in the formulation of nonextensive statistical
mechanics. We compare our results, at large temperatures and at the critical
point, with the case of Boltzmann-Gibbs thermodynamics for the case of a
Bose-Einstein gas. In particular, we find that for all temperatures the long
range correlations in a Bose gas decrease when the value of q departs from the
standard value q=1.Comment: revtex file, 10 pages, two eps style figures, packaged as a single
tar.gz fil
Self-consistent modelling of hot plasmas within non-extensive Tsallis' thermostatistics
A study of the effects of non-extensivity on the modelling of atomic physics
in hot dense plasmas is proposed within Tsallis' statistics. The electronic
structure of the plasma is calculated through an average-atom model based on
the minimization of the non-extensive free energy.Comment: submitted to "Eur. Phys. J. D
Microscopic Foundation of Nonextensive Statistics
Combination of the Liouville equation with the q-averaged energy leads to a microscopic framework for nonextensive q-thermodynamics. The
resulting von Neumann equation is nonlinear: . In spite
of its nonlinearity the dynamics is consistent with linear quantum mechanics of
pure states. The free energy is a stability function for the
dynamics. This implies that q-equilibrium states are dynamically stable. The
(microscopic) evolution of is reversible for any q, but for
the corresponding macroscopic dynamics is irreversible.Comment: revte
Bound state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry
The energy spectra and the corresponding two- component spinor wavefunctions
of the Dirac equation for the Rosen-Morse potential with spin and pseudospin
symmetry are obtained. The wave ( state) solutions for this
problem are obtained by using the basic concept of the supersymmetric quantum
mechanics approach and function analysis (standard approach) in the
calculations. Under the spin symmetry and pseudospin symmetry, the energy
equation and the corresponding two-component spinor wavefunctions for this
potential and other special types of this potential are obtained. Extension of
this result to state is suggested.Comment: 18 page
Large-N Expansion for a Nucleon-Nucleon Potential
The Schrodinger equation has been solved by 1/N expansion for a two nucleon system which interacts by an attractive Yukawa potential. For the ground and first excited states, energy eigenvalues have been obtained. © 1989, Verlag der Zeitschrift für Naturforschung. All rights reserved