QUANTUM GROUPS, SQUEEZING, BLOCH, AND THETA FUNCTIONS

Author:

CELEGHINI E.1,DE MARTINO S.2,DE SIENA S.2,VITIELLO G.2,RASETTI M.3

Affiliation:

1. Dipartimento di Fisica, Università di Firenze and INFN-Firenze, I50125 Firenze, Italy

2. Dipartimento di Fisica, Università di Salerno and INFN-Napoli, I84100 Salerno, Italy

3. Dipartimento di Fisica and Unità INFM, Politecnico di Torino, I10129 Torino, Italy

Abstract

We realize the deformation of the Weyl–Heisenberg algebra in terms of finite difference operators within the Fock–Bargmann representation. This allows us to incorporate in a unified q-algebra structure, the notions of squeezing and lattice quantum systems resorting to the properties of theta functions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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