The Fourier U (2) Group and Separation of Discrete Variables

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Jun 1, 2011 - example of separation of coordinates in discrete, finite spaces. ...... in science and engineering, Mathematical Concepts and Methods in Science ... Angular momentum in quantum mechanics, in Encyclopedia of Mathematics.
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,