Local representations of the (1+1) quantum extended Galilei algebra

Details Local representations of the (1+1) quantum extended Galilei algebra Local representations of the (1+1) quantum extended Galilei algebra

2002-03-05

arxiv.org/abs/math/0203039v1

Mathematics

Quantum Algebra

LaTeX, 11 pages

Scientific paper

We present the q-deformed counterpart of the local representations of the (1+1) extended Galilei group. These representations act on the space of wavefunctions defined in the space-time. As in the classical case the q-local representations are reducible and the condition of irreducibility is given by the q-Casimir equation that in the limit of the deformation parameter going to zero becomes the Schroedinger equation of a free particle.

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