Now showing items 1-10 of 78
On the algebraic structure of rotationally invariant two-dimensional Hamiltonians on the noncommutative phase space
(IOP Publishing, 2016-01)
We study two-dimensional Hamiltonians in phase space with noncommutativity both in coordinates and momenta. We consider the generator of rotations on the noncommutative plane and the Lie algebra generated by Hermitian ...
Supersymmetry in the non-commutative plane
(Academic Press Inc. Elsevier Science, 2005)
Noncommutative Jordan superalgebras of degree n > 2
We prove a coordinatization theorem for noncommutative Jordan superalgebras of degree n > 2, describing such algebras. It is shown that the symmetrized Jordan superalgebra for a simple finite-dimensional noncommutative ...
Oscillators in a (2+1)-dimensional noncommutative space
(American Institute of Physics, 2014-03)
We study the Harmonic and Dirac Oscillator problem extended to a three-dimensional noncommutative space where the noncommutativity is induced by the shift of the dynamical variables with generators of SL(2,ℝ)SL(2,R) in a ...