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Anyonic behavior of quantum group fermionic and bosonic systems
Marcelo R. Ubriaco
We discuss the role that quantum group symmetries, in particular , play in a thermodynamic system at high temperatures. We show that the interactions introduced by the qua…
Anyonic behavior of quantum group gases
Marcelo R. Ubriaco
We first introduce and discuss the formalism of -bosons and fermions and consider the simplest Hamiltonian involving these operators. We then calculate the grand partition…
High and low temperature behavior of a quantum group fermion gas
Marcelo R. Ubriaco
We consider the simplest invariant fermionic hamiltonian and calculate the low and high temperature behavior for the two distinct cases and . For low tempera…
Thermodynamics of a free fermionic system
Marcelo R. Ubriaco
We calculate the partition function, average occupation number and internal energy for a fermionic system and compare this model at with the ordinary fermionic, $q=…
Complex -Analysis and Scalar Field Theory on a -Lattice
Marcelo R. Ubriaco
We develop the basic formalism of complex -analysis to study the solutions of second order -difference equations which reduce, in the limit, to the ordinary…
Quantum Group Schrödinger Field Theory
Marcelo R. Ubriaco
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…