RUJA Colección :https://hdl.handle.net/10953/2552022-08-12T17:26:05Z2022-08-12T17:26:05ZCoherent States for infinite homogeneous waveguide arraysGuerrero, JulioLópez-Ruiz, Francisco F.https://hdl.handle.net/10953/11322022-02-17T02:02:20Z2021-01-01T00:00:00ZTítulo: Coherent States for infinite homogeneous waveguide arrays
Autoría: Guerrero, Julio; López-Ruiz, Francisco F.
Resumen: Perelomov coherent states for equally spaced, infinite homogeneous waveguide
arrays with Euclidean E(2) symmetry are defined, and new resolutions of the identity
are constructed in Cartesian and polar coordinates. The key point to construct these
resolutions of the identity is the fact that coherent states satisfy Helmholtz equation
(in coherent states labels) an thus a non-local scalar product with a convolution
kernel can be introduced which is invariant under the Euclidean group. It is also
shown that these coherent states for the Eucliean E(2) group have a simple and
natural physical realization in these waveguide arrays.2021-01-01T00:00:00Z