arXiv subjects

Azzouz Zinoun

Publications and source records attributed to Azzouz Zinoun.

2 recordsLinked to original sources

arXiv2010

Landau operator on the quaternionic field

The Landau operator on the quaternionic field is defined as the partial Fourier transform of the sub-Laplacian on the quaternionic Heisenberg group. This operator is viewed as the Hamiltonian of two harmonic oscillators on the two dimensional complex space with a uniform magnetic field.

math-ph↗

arXiv2010

Ternary algebras with braided statistics

Algebraic relations that characterize quantum statistics (Bose-Einstein statistic, Fermi-Dirac statistic, supersymmetry, parastatistic, anyonic statistic, ...) are reformulated herein in terms of a new algebraic structure, which we call para-algebra.

math.SP↗