TY - JOUR
T1 - (Heisenberg-)Weyl Algebras, Segal-Bargmann Transform and Representations of Poincaré Groups
AU - Havlíček, Miloslav
AU - Kotrbatý, Jan
AU - Moylan, Patrick
AU - Pošta, Severin
N1 - Publisher Copyright:
© 2019 Published under licence by IOP Publishing Ltd.
PY - 2019/4/24
Y1 - 2019/4/24
N2 - In a recent paper [1] 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 Schrodinger representation of the Heisenberg-Weyl algebra Wr(ℝ) of index r = 1, 2, and 3, respectively. Here we relate this approach to the usual method of describing the representations of these Poincare groups, i.e. the Wigner-Mackey construction.
AB - In a recent paper [1] 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 Schrodinger representation of the Heisenberg-Weyl algebra Wr(ℝ) of index r = 1, 2, and 3, respectively. Here we relate this approach to the usual method of describing the representations of these Poincare groups, i.e. the Wigner-Mackey construction.
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U2 - 10.1088/1742-6596/1194/1/012043
DO - 10.1088/1742-6596/1194/1/012043
M3 - Conference article
AN - SCOPUS:85065573256
SN - 1742-6588
VL - 1194
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012043
T2 - 32nd International Colloquium on Group Theoretical Methods in Physics, ICGTMP 2018
Y2 - 9 July 2018 through 13 July 2018
ER -