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Coarse graining as a representation change

URN to cite this document:
urn:nbn:de:bvb:355-epub-455135
DOI to cite this document:
10.5283/epub.45513
Bodendorfer, Norbert ; Haneder, Fabian
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Date of publication of this fulltext: 06 Apr 2021 14:20



Abstract

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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