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Coarse graining as a representation change

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Bodendorfer, Norbert ; Haneder, Fabian
License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 06 Apr 2021 14:20


We discuss how SU(1, 1) coherent states from the discrete series allow for a natural coarse graining operation. The physical application is quantum theories based on a set of three extensive observables whose Poisson algebra is isomorphic to su(1, 1). In particular, we show that a Perelomov coherent state with representation label Nj(0) and spinor label z encodes the physics of N independent ...


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