2008/12/02 by S. Berceanu, Berceanu, S., A. Gheorghe +1
Mathematics · Physics and Astronomy · #20C35 #32Q15 #33C47 #81R30 #81V80 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Optics (physics.optics) #Representation Theory (math.RT) #math-ph #math.DG #math.MP #math.RT #msc:20C35 #msc:32Q15 #msc:33C47 #msc:81R30 #msc:81V80 #physics.optics
paper · pdf · doi:10.48550/arxiv.0812.0448
8 pages, Communication at the Third National Conference on Theoretical Physics, Busteni, Romania, June 10 -13, 2008, to appear in Rom. Journ. Phys. Vol 53, No 9-10, 1013-1021, 2008
arxiv created 2008/12/02 · arxiv updated 2009/12/01
Infinitesimal holomorphic realizations for the Schrödinger-Weil representation and the discrete series representations of the Jacobi group are constructed. Explicit expressions of the basic differential operators are obtained. The squeezed states for the unitary irreducible representation of the Jacobi group are introduced. Matrix elements of the squeezed operators, expectation values of polynomial operators in infinitesimal generators of the Jacobi group, the squeezing region and a description of Mandel's parameter are presented.