Symbol representations of observables over the similitude group
Abstract
Generalized coherent states on Lie groups are constructed and these are used to represent quantum states and quantum observables as phase space functions in two different, but related, ways. We present concrete computations on the Similitude group whose elements are parametrized by translations, rotations and dilations in the plane. The basic idea is to obtain generalized coherent states from two basic ingredients of the Weyl-Wigner-Groenewold-Moyal formalism, the Weyl operator and Wigner function, which are in turn defined in terms of unitary representations of the group.
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Entangled!
25-28 June 2025, National Institute of Physics, University of the Philippines Diliman
Please visit the SPP2025 activity webpage for more information on this year's Physics Congress.