SU(2), Associated Laguerre Polynomials and Rigged Hilbert Spaces

Celeghini, Enrico; Gadella Urquiza, Manuel; Olmo Martínez, Mariano Antonio del

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Título

SU(2), Associated Laguerre Polynomials and Rigged Hilbert Spaces

Autor

Celeghini, Enrico

Gadella Urquiza, Manuel

Olmo Martínez, Mariano Antonio del

Serie

Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 255)

Año del Documento

2018

Editorial

Springer

Descripción

Producción Científica

Documento Fuente

Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics. Dobrev V. (eds), Volume 2. LT-XII/QTS-X 2017. Springer Proceedings in Mathematics & Statistics, vol 255. pp. 373-383. https://doi.org/10.1007/978-981-13-2179-5_29

Abstract

We present a family of unitary irreducible representations of SU(2) realized in the plane, in terms of the associated Laguerre polynomials. These functions are similar to the spherical harmonics defined on the sphere. Relations with a space of square integrable functions defined on the plane, L2(R2), are analyzed. We have also enlarged this study using rigged Hilbert spaces that allow to work with discrete and continuous bases like is the case here.

ISBN

978-981-13-2179-5

Patrocinador

Ministerio de Economía, Industria y Competitividad ( (Project MTM2014-57129-C2-1-P)
Junta de Castilla y León (programa de apoyo a proyectos de investigación - Ref. VA057U16)

Version del Editor

https://link.springer.com/chapter/10.1007/978-981-13-2179-5_29