A note on coherent states |
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| Authors: | W J M A Hochstenbach |
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| Institution: | 1. Institut für Theoretische Physik, Universit?t G?ttingen, D-3400, G?ttingen, Germany
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| Abstract: | Given a connected Lie groupG with an Abelian invariant Lie subgroup and a continuous unitary representation ofG on the Hilbert space ?, we investigate a relationship between the first cohomology groupH 1(G, ?) and classes of sectors, determined by coherent states with a projectivelyG-covariant Weyl system. This result is applied to calculateH 1(G, ?), if the groupG has in addition a compact subgroup with certain properties. |
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