RT info:eu-repo/semantics/bookPart T1 Hermite Coherent States for Quadratic Refractive Index Optical Media A1 Gress, Zulema A1 Cruz y Cruz, Sara K1 Hermite–Gaussian modes, Ladder operators, Coherent states, Self-focusing media, Paraxial beams, Ermakov equation AB 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. PB Springer YR 2019 FD 2019 LK http://uvadoc.uva.es/handle/10324/40292 UL http://uvadoc.uva.es/handle/10324/40292 LA eng NO S. Kuru, J. Negro and L.M. Nieto (eds.), Integrability, Supersymmetry and Coherent States. A volume in honour of Professor Véronique Hussin. CRM Series in Mathematical Physics NO Producción Científica DS UVaDOC RD 27-dic-2024