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math-ph2015
SU(2), Associated Laguerre Polynomials and Rigged Hilbert Spaces
Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo
We present a family of unitary irreducible representations of SU(2) realized in the plane, in terms of the Laguerre polynomials. These functions are similar to the spherical harmon…
math-ph2015
A constructive presentation of rigged Hilbert spaces
Enrico Celeghini
We construct a rigged Hilbert space for the square integrable functions on the line L^2(R) adding to the generators of the Weyl-Heisenberg algebra a new discrete operator, related…