3 papers
math.QA2002
Local representations of the (1+1) quantum extended Galilei algebra
O. Arratia, M. A. del Olmo
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…
math-ph1999
Classical Systems and Representations of (2+1) Newton-Hooke Symmetries
Oscar Arratia, Miguel A. Martin, Mariano A. Olmo
This paper investigates the classical and quantum elementary systems with Newton-Hoooke symmetry. A complete classification is given by explicit computation. In addition, we presen…
math-ph1998
Deformation in Phase Space
Oscar Arratia, Miguel A. Martin, Mariano A. Olmo
We review several procedures of quantization formulated in the framework of (classical) phase space M. These quantization methods consider Quantum Mechanics as a "deformation" of C…