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

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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.
LaTeX, 11 pages

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Quantum Algebra, Mathematical Physics, 17B37, 81R50

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http://salesiana.dossiersoluciones.com/handle/123456789/63492

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203039
 http://arxiv.org/abs/math/0203039

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arXiv