Algebraic properties of Rogers-Szego functions: I. Applications in quantum optics
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Data
2009-09-18
Autores
Marchiolli, M. A. [UNESP]
Ruzzi, M. [UNESP]
Galetti, Diogenes [UNESP]
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Iop Publishing Ltd
Resumo
By 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.
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Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 42, n. 37, p. 24, 2009.