Generalized Heisenberg-Weyl groups and Hermite functions

A generalisation of Euclidean and pseudo-Euclidean groups is presented, where the Weyl-Heisenberg groups, well known in quantum mechanics, are involved. A new family of groups is obtained including all the above-mentioned groups as subgroups. Symmetries, like self-similarity and invariance with resp...

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Bibliographic Details
Main Author: Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo
Format: Article
Language:English
Published: SciPost 2023-11-01
Series:SciPost Physics Proceedings
Online Access:https://scipost.org/SciPostPhysProc.14.023