2021
DOI: 10.48550/arxiv.2112.00872
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Coherent States for infinite homogeneous waveguide arrays

Abstract: 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… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 27 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?