125 citations · 1k across the 46 of their papers we have counts for
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Bosonic Colored Group Field Theory
Joseph Ben Geloun, Jacques Magnen, Vincent Rivasseau
Bosonic colored group field theory is considered. Focusing first on dimension four, namely the colored Ooguri group field model, the main properties of Feynman graphs are studied.…
The N=1 Supersymmetric Landau Problem and its Supersymmetric Landau Level Projections: the N=1 Supersymmetric Moyal-Voros Superplane
Joseph Ben Geloun, Jan Govaerts, Frederik G. Scholtz
The N=1 supersymmetric invariant Landau problem is constructed and solved. By considering Landau level projections remaining non trivial under N=1 supersymmetry transformations, th…
-graded Heisenberg algebras and deformed supersymmetries
Joseph Ben Geloun, Mahouton Norbert Hounkonnou
The notion of -grading on the enveloping algebra generated by products of q-deformed Heisenberg algebras is introduced for complex number in the unit disc. Within this formu…
Ladder operators and coherent states for continuous spectra
Joseph Ben Geloun, John R. Klauder
The notion of ladder operators is introduced for systems with continuous spectra. We identify two different kinds of annihilation operators allowing the definition of coherent stat…
Harmonic oscillator in a background magnetic field in noncommutative quantum phase-space
Joseph Ben Geloun, Sunandan Gangopadhyay, Frederik G Scholtz
We solve explicitly the two-dimensional harmonic oscillator and the harmonic oscillator in a background magnetic field in noncommutative phase-space without making use of any type…
Coherent states in noncommutative quantum mechanics
J Ben Geloun, F G Scholtz
Gazeau-Klauder coherent states in noncommutative quantum mechanics are considered. We find that these states share similar properties to those of ordinary canonical coherent states…