(Heisenberg-)Weyl Algebras, Segal-Bargmann Transform and Representations of Poincaré Groups
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Havlíček M.
Kotrbatý J.
Moylan P.
Pošta S.
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In a recent paper (Havlíček M, Kotrbatý J, Moylan P and Pošta S 2018 J. Math. Phys. 59 2 021702 1-23) we described a novel treatment of the unitary irreducible representations of the Poincaré groups in 2, 3 and 4 space-time dimensions as unitary operators on the representation spaces of the Schrödinger representation of the Heisenberg-Weyl algebra W(r,R) of index r = 1, 2, and 3, respectively. Here we relate this approach to the usual method of describing the representations of these Poincaré groups, i.e. the Wigner-Mackey construction.
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- Publikační činnost ČVUT [1312]