Marchiolli, M. A. [UNESP]Ruzzi, M. [UNESP]Galetti, Diogenes [UNESP]2013-09-302014-05-202013-09-302014-05-202009-09-18Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 42, n. 37, p. 24, 2009.1751-8113http://hdl.handle.net/11449/24160By means of a well-established algebraic framework, Rogers-Szego functions associated with a circular geometry in the complex plane are introduced in the context of q-special functions, and their properties are discussed in detail. The eigenfunctions related to the coherent and phase states emerge from this formalism as infinite expansions of Rogers-Szego functions, the coefficients being determined through proper eigenvalue equations in each situation. Furthermore, a complementary study on the Robertson-Schrodinger and symmetrical uncertainty relations for the cosine, sine and nondeformed number operators is also conducted, corroborating, in this way, certain features of q-deformed coherent states.24engArtigo10.1088/1751-8113/42/37/375206WOS:000269474000011Acesso restrito