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SU(2) and SU(1,1) phase states
Physical Review A, 1990Phase operators and phase states are introduced in the Hilbert space ${H}_{2j+1}$ associated with the SU(2) group. The phase operators obey the SU(2) algebra and play a dual role to the standard angular-momentum operators. A finite Weyl group plays a fundamental role in those ideas.
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Classical and Quantum Gravity, 1984
The spectrum of the scalar Laplacian on the SU(3)*SU(2)*U(1) invariant spaces introduced by Witten is calculated. Contrary is previous results in the literature, it is shown that the harmonics can carry non-zero triality representations of SU(3). Similar results hold also for spinor harmonics, and indeed the quark triplet representation can occur on ...
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The spectrum of the scalar Laplacian on the SU(3)*SU(2)*U(1) invariant spaces introduced by Witten is calculated. Contrary is previous results in the literature, it is shown that the harmonics can carry non-zero triality representations of SU(3). Similar results hold also for spinor harmonics, and indeed the quark triplet representation can occur on ...
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Inequivalent sets of commuting missing label operators for SU(4) ⊆SU(2) ×SU(2)
Journal of Mathematical Physics, 1977We exhibit one possible choice for the four functionally independent label operators available. We prove that they can be separated into two inequivalent, i.e., functionally independent, sets of commuting label operators, namely the set of operators Ω and Φ first considered by Moshinsky and Nagel, and the set of operators C(202) and C(022).
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Wigner coefficients of U(4) ⊃ SU (2) ⊗ SU (2)
Nuclear Physics A, 2023Feng Pan, Lianrong Dai, J.P. Draayer
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TheHilbert space L2(SU(2)) as a representation space for the group SU(2)*SU(2)
Journal of Physics A: Mathematical and General, 1976openaire +1 more source
On spherical functions on $SU(2)\times \SU(2)\times\SU(2)$
Functional Analysis and Its Applications, 2010openaire +1 more source

