Results 261 to 270 of about 101,972,928 (277)

The SU(4) ⊃ SU(2) ⊗ SU(2) chain

Journal of Mathematical Physics, 1978
We consider the physical SU(4) ⊃ SU(2) ⊗ SU(2) chain. With the help of the three vectors (Sα, Ti, Qαi), (VαS, VtT, VαiQ), (WSα, WiT, WαiQ) we can easily write the three fundamental invariants I2, I3, I4; the two operators Ω and Φ (eigenvalues ω and φ) of Moshinsky and Nagel [Phys. Lett.
A. Partensky, C. Maguin
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SU(2) and SU(1,1) interferometers

Physical Review A, 1986
A Lie-group-theoretical approach to the analysis of interferometers is presented. Conventional interferometers such as the Mach-Zehnder and Fabry-Perot can be characterized by SU(2). We introduce a class of interferometers characterized by SU(1,1). These interferometers employ active elements such as four-wave mixers or degenerate-parametric amplifiers
, Yurke, , McCall, , Klauder
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On the symmetric representations of SU(5). Matrix elements of the generators in the subgroup bases SU(2)×SU(2)×U(1) and SU(2)×SU(2)

Journal of Mathematical Physics, 1988
Matrix elements of the group generators for the totally symmetric irreducible representations of SU(5) are obtained in closed form employing the decomposition chain SU(5)⊇SU(4)×U(1)⊇SO(4)×U(1). The SU(4)≈SU(2)×SU(2) subgroup herein also occurs at the tail of the inclusion chain SU(5)⊇SO(5)⊇SO(4).
J. Vanthournout, H. De Meyer, G. Vanden Berghe   +2 more
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SU(2)  × SU(2) scalars in the enveloping algebra of SU(4)

Journal of Mathematical Physics, 1976
We 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, 1989
A 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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SU(2) and SU(1,1) phase states

Physical Review A, 1990
Phase 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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Harmonic expansions in solutions in d=11 supergravity with SU(3)×SU(2)×U(1) or SU(2)×SU(2)×SU(2)×(1) symmetry

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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