151 research outputs found
Quantum group invariant, nonextensive quantum statistical mechanics
We study the consequences of introducing quantum group invariance in the
formalism of nonextensive quantum statistical mechanics.
We find that the corresponding thermodynamical system is equivalent to a
Bose-Einstein gas in the Boltzmann-Gibbs formalism with a higher critical
temperature than the standard Bose-Einstein case.Comment: Revtex file, 6 pages, one figure. The original article has been
expanded to include some additional comments, one figure and a discussion
regarding the critical temperature. One reference adde
Quantum Group Schr\"{o}dinger Field Theory
We show that a quantum deformation of quantum mechanics given in a previous
work is equivalent to quantum mechanics on a nonlinear lattice with step size
. Then, based on this, we develop the basic formalism of
quantum group Schr\"{o}dinger field theory in one spatial quantum dimension,
and explicitly exhibit the covariant algebras satisfied by the
-bosonic and -fermionic Schr\"{o}dinger fields. We generalize this result
to an arbitrary number of fields.Comment: 11 pages,LaTeX, LTP-035-UP
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