https://uvadoc.uva.es/handle/10324/22156 FM - Capítulos de monografías 2026-04-05T15:33:57Z https://uvadoc.uva.es/handle/10324/40874 Ver abstract 2019-01-01T00:00:00Z https://uvadoc.uva.es/handle/10324/40293 A short review of the main properties of coherent and squeezed states is given in the introductory form. The efforts are addressed to clarify concepts and notions, including some passages of the history of science, with the aim of facilitating the subject for nonspecialists. In this sense, the present work is intended to be complementary to other papers of the same nature and subject in current circulation. 2019-01-01T00:00:00Z https://uvadoc.uva.es/handle/10324/40292 Ladder and shift operators are determined for the set of Hermite–Gaussian modes associated with an optical medium with quadratic refractive index profile. These operators allow to establish irreducible representations of the su(1, 1) and su(2) algebras. Glauber coherent states, as well as su(1, 1) and su(2) generalized coherent states, were constructed as solutions of differential equations admitting separation of variables. The dynamics of these coherent states along the optical axis is also evaluated. 2019-01-01T00:00:00Z https://uvadoc.uva.es/handle/10324/33594 We present a family of unitary irreducible representations of SU(2) realized in the plane, in terms of the associated Laguerre polynomials. These functions are similar to the spherical harmonics defined on the sphere. Relations with a space of square integrable functions defined on the plane, L2(R2), are analyzed. We have also enlarged this study using rigged Hilbert spaces that allow to work with discrete and continuous bases like is the case here. 2018-01-01T00:00:00Z