LIE ALGEBRA REPRESENTATIONS AND RIGGED HILBERT SPACES: THE SO(2) CASE

Authors

  • Enrico Celeghini Univerita di Firenze
  • Manuel Gadella Universidad de Valladolid
  • Mariano A del Olmo Universidad de Valladolid

DOI:

https://doi.org/10.14311/AP.2017.57.0379

Keywords:

Lie groups representations, special functions, rigged Hilbert spaces

Abstract

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.

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Author Biography

  • Mariano A del Olmo, Universidad de Valladolid
    Dpto. de Fisica Teorica Full Professor

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Published

2017-12-30

Issue

Vol. 57 No. 6 (2017)

Section

Articles

How to Cite

Celeghini, E., Gadella, M., & del Olmo, M. A. (2017). LIE ALGEBRA REPRESENTATIONS AND RIGGED HILBERT SPACES: THE SO(2) CASE. Acta Polytechnica, 57(6), 379-384. https://doi.org/10.14311/AP.2017.57.0379
Received 2017-11-20
Accepted 2017-11-26
Published 2017-12-30