Spherical harmonics and rigged Hilbert spaces

Autor:	Celeghini, E., Gadella, M., del Olmo, M. A.
Rok vydání:	2018
Předmět:	Mathematical Physics 02.20.Sv 02.30.Gp 02.30.Nw 03.65.Ca
Druh dokumentu:	Working Paper
DOI:	10.1063/1.5026740
Popis:	This paper is devoted to study discrete and continuous bases for spaces supporting representations of SO(3) and SO(3,2) where the spherical harmonics are involved. We show how discrete and continuous bases coexist on appropriate choices of rigged Hilbert spaces. We prove the continuity of relevant operators and the operators in the algebras spanned by them using appropriate topologies on our spaces. Finally, we discuss the properties of the functionals that form the continuous basis. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1802.08497 Zobrazit plný text záznamu View this record from Arxiv