Results 191 to 200 of about 34,461,409 (228)
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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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SU(2) × SU(2) scalars in the enveloping algebra of SU(4)
Journal of Mathematical Physics, 1976We build an integrity basis for the SU(2) × SU(2) scalars belonging to the enveloping algebra of SU(4). We prove that it contains seven independent invariants in addition to the Casimir operators of SU(4) and SU(2) × SU(2). We form a complete set of commuting operators by adding to the latter two linear combinations of the former the operators Ω and ...
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Matrix elements of the labelling operators for SU(4) ⊃ SU(2) × SU(2)
Journal of Physics A: Mathematical and General, 1989A matrix representation of the labelling operators of Moshinsky and Nagel (1963) and of Partensky and Maguin (1978) in the non-orthogonal Draayer basis of SU(4) is derived; this allows one to solve explicitly the missing label problem for the spin-isospin multiplets in the arbitrary SU(4) supermultiplets.
E Norvaisas, S Alisauskas
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QuantumSU(2)-invariants dominate Casson'sSU(2)-invariant
Mathematical Proceedings of the Cambridge Philosophical Society, 1994In 1988, E. Witten proposed an array of invariants (quantumG-invariants) for a 3-manifold associated with a compact simple Lie groupGbased on the quantum field theory [22]. N. Reshetikhin and V. Turaev [20] gave a mathematical approach to these invariants forG=SU(2) by using representations of the quantum groupUq(sl(2, ℂ)). See also [2, 11, 12, 14, 15,
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Neutrino masses in SU(2) ⊗ U(1) theories
, 1980J. Schechter, J. Valle
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
Understanding Cooper Pairs through SU(2)/SO(2) and Generalizing SU(2)/SO(2) to SU(3)/SO(2)
SSRN Electronic JournalThis article explores how a mathematical tool called SU(2)/SO(2) helps us understand the behavior of Cooper pairs, tiny electron couples responsible for superconductivity. Copper pairs consist of two electrons with opposite spins bound together by vibrations in the material.
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Generalized SU(2) covariant Wigner functions and some of their applications
, 2017A. Klimov +2 more
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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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