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00925njm 22002777a 4500 dc Gress, Zulema author Cruz y Cruz, Sara author 2019 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. 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 http://uvadoc.uva.es/handle/10324/40292 323 339 Integrability, Supersymmetry and Coherent States. A volume in honour of Professor Véronique Hussin Hermite Coherent States for Quadratic Refractive Index Optical Media