W H Klink 1985 J. Phys. A: Math. Gen. 18 3141 doi:10.1088/0305-4470/18/16/016
W H Klink
Show affiliationsThe symmetric Fock space for a given representation of a compact internal symmetry group is shown to be naturally associated with an induced representation space, induced by a unitary group. The induced representation space is a Hilbert space over the complex sphere, and the orbits on this complex sphere with respect to the internal symmetry groups give rise to a double coset decomposition. A scattering operator acting on double coset representatives only is shown to be unitary, invariant with respect to the internal symmetry group, and include particle production. A simple example in which positively and negatively charged mesons generate a Fock space with respect to a U(1) internal symmetry group is given.
11.30.Ly Other internal and higher symmetries
Issue 16 (11 November 1985)
W H Klink 1985 J. Phys. A: Math. Gen. 18 3141
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Jennifer J. Birriel et al 1998 ApJ 507 L75
R. Demarco et al. 2007 ApJ 663 164
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