Lie algebra representations and rigged hilbert spaces

Enrico Celeghini, Manuel Gadella, Mariano A Del Olmo

Lie algebra representations and rigged hilbert spaces

Číslo: 6/2017
Periodikum: Acta Polytechnica
DOI: 10.14311/AP.2017.57.0379

Klíčová slova: Lie groups representations; special functions; rigged Hilbert spaces

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Anotace: It is well known that related with the irreducible representations of the Lie group SO(2) we find a discrete basis as well a continuous one. In this paper we revisited this situation under the light of Rigged Hilbert spaces, which are the suitable framework to deal with both discrete and bases in the same context and in relation with physical applications.