Generalized photon-added associated hypergeometric coherent states: characterization and relevant properties

This paper presents the construction of a new set of generalized photon-added coherent states related to associated hypergeometric functions introduced in our previous work (Hounkonnou M N and Sodoga K, 2005, J. Phys. A: Math. Gen 38, 7851). These states satisfy all required mathematical and physical properties. The associated Stieltjes power-moment problem is explicitly solved by using Meijer's G-function and the Mellin inversion theorem. Relevant quantum optical and thermal characteristics are investigated. The formalism is applied to particular cases of the associated Hermite, Laguerre, Jacobi polynomials and hypergeometric functions. Their corresponding states exhibit sub-Poissonian photon number statistics

Nonabelian Global Chiral Symmetry Realisation in the Two-Dimensional N Flavour Massless Schwinger Model

The nonabelian global chiral symmetries of the two-dimensional N flavour massless Schwinger model are realised through bosonisation and a vertex operator construction.Comment: To appear in the Proceedings of the Fourth International Workshop on Contemporary Problems in Mathematical Physics, November 5-11, 2005, Cotonou (Republic of Benin) (World Scientific, Singapore, 2006), 1+7 pages, no figure

Bosonization of the Schwinger Model by Noncommutative Chiral Bosons

Bosonization of the Schwinger model with noncommutative chiral bosons is considered on a spacetime of cylinder topology. Using point splitting regularization, manifest gauge invariance is maintained throughout. Physical consequences are discussed.Comment: To appear in the Proceedings of the Fourth International Workshop on Contemporary Problems in Mathematical Physics, November 5-11, 2005, Cotonou (Republic of Benin) (World Scientific, Singapore, 2006), 1+8 pages, no figure