24 research outputs found

    Correlation functions in the factorization approach of nonextensive quantum statistics

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    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

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    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

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    Combination of the Liouville equation with the q-averaged energy Uq=qU_q = _q leads to a microscopic framework for nonextensive q-thermodynamics. The resulting von Neumann equation is nonlinear: iρ˙=[H,ρq]i\dot\rho=[H,\rho^q]. In spite of its nonlinearity the dynamics is consistent with linear quantum mechanics of pure states. The free energy Fq=UqTSqF_q=U_q-TS_q is a stability function for the dynamics. This implies that q-equilibrium states are dynamically stable. The (microscopic) evolution of ρ\rho is reversible for any q, but for q1q\neq 1 the corresponding macroscopic dynamics is irreversible.Comment: revte

    Bound state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry

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    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 ss-wave (κ=0\kappa = 0 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 κ0\kappa \neq 0 state is suggested.Comment: 18 page

    Large-N Expansion for a Nucleon-Nucleon Potential

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    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
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