Symmetry, Integrability and Geometry: Methods and Applications
SIGMA 7 (2011), 053, 18 pages
The Fourier U(2) Group and Separation of Discrete Variables?
arXiv:1106.0093v1 [math-ph] 1 Jun 2011
Kurt Bernardo WOLF
†
and Luis Edgar VICENT
‡
†
Instituto de Ciencias F´ısicas, Universidad Nacional Aut´ onoma de M´exico, Av. Universidad s/n, Cuernavaca, Mor. 62210, M´exico E-mail:
[email protected] URL: http://www.fis.unam.mx/~bwolf/
‡
Deceased
Received February 19, 2011, in final form May 26, 2011; Published online June 01, 2011 doi:10.3842/SIGMA.2011.053 Abstract. The linear canonical transformations of geometric optics on two-dimensional screens form the group Sp(4,
