3 papers
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…
quant-ph1996
Moyal Quantization and Group Theory
O. Arratia, M. A. Martin, M. A. Olmo
We deduce a kernel that allows the Moyal quantization of the cylinder (as phase space) by means of the Stratonovich-Weyl correspondence.