111 citations · 497 across the 37 of their papers we have counts for
10 papers · 1 filter
The Yukawa Model in One Space - One Time Dimensions
Laure Gouba
The Yukawa Model is revisited in one space - one time dimensions in an approach completely different to those available in the literature. We show that at the classical level it is…
A comparative review of four formulations of noncommutative quantum mechanics
Laure Gouba
Four formulations of quantum mechanics on noncommutative Moyal phase spaces are reviewed. These are the canonical, path-integral, Weyl-Wigner and systematic formulations. Although…
PT-symmetric noncommutative spaces with minimal volume uncertainty relations
Sanjib Dey, Andreas Fring, Laure Gouba
We provide a systematic procedure to relate a three dimensional q-deformed oscillator algebra to the corresponding algebra satisfied by canonical variables describing noncommutativ…
Supersymmetric Extension of the Snyder Algebra
L. Gouba, A. Stern
We obtain a minimal supersymmetric extension of the Snyder algebra and study its representations. The construction differs from the general approach given in Hatsuda and Siegel ({\…
Minimal areas from q-deformed oscillator algebras
Andreas Fring, Laure Gouba, Bijan Bagchi
We demonstrate that dynamical noncommutative space-time will give rise to deformed oscillator algebras. In turn, starting from some q-deformations of these algebras in a two dimens…
Strings from position-dependent noncommutativity
Andreas Fring, Laure Gouba, Frederik G. Scholtz
We introduce a new set of noncommutative space-time commutation relations in two space dimensions. The space-space commutation relations are deformations of the standard flat nonco…