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5 papers · 1 filter
Poisson color algebras of arbitrary degree
Antonio J. Calderon, Diouf M. Cheikh
A Poisson algebra is a Lie algebra endowed with a commutative associative product in such a way that the Lie and associative products are compatible via a Leibniz rule. If we part…
-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…
New classes of nonlinear vector coherent states of generalized spin-orbit Hamiltonians
Joseph Ben Geloun, Mahouton Norbert Hounkonnou
This paper deals with an extension of our previous work [J. Phys. A: Math. Theor. {\bf 40} F817] by considering an alternative construction of canonical and deformed vector coheren…
One-loop functions of a translation-invariant renormalizable noncommutative scalar model
Joseph Ben Geloun, Adrian Tanasa
Recently, a new type of renormalizable scalar model on the Moyal space was proved to be perturbatively renormalizable. It is translation-invariant and introduces…