Canonical orthonormal Wigner supermultiplet basis

Abstract

The explicit construction of an orthonormal basis for states of good spin, isospin and SU(4) Wigner supermultiplet symmetry is given in a Bargmann representation space. A complete set of quantum labels is provided by a Sp(3, !HI 3 U(3) complementary symmetry.

Description of mixed-mode dynamics within the symplectic extension of the Interacting Vector Boson Model

“….) are the U (6) Racah coefˇcients in a unitary form [92]. For the reduced triple-bared matrix element in our case, which is multiplicity-free and hence there is no sum, we have…”

Elastic and plastic effects on heterogeneous nucleation and nanowire formation

“…A complete analytical treatment of a nanowire with screw dislocation and surface corrugation is not possible if the dislocation line is not in the centre, x 0 = 0. We therefore use a finite element implementation based on FreeFEM++ to solve the problem numerically [35].…”

Influence of Ferroelectric Polarization on the Properties of Two-Dimensional Electron Gas in Pb(Zr0.53Ti0.47)O3/AlxGa1-xN/GaN Structures

“…The geometric approach has also been favoured in the physics literature, albeit under various guises. A non-exhaustive list would necessarily include: the coherent state approach to representation theory of Lie algebras (Perelomov 1986), which parallels the standard holomorphic line bundle construction; the more recent vector coherent state approach to representation theory of Lie (super)algebras (Rowe 1984(Rowe , 1985, Rowe e l al 1988, Deenen andQuesne 1984, Quesne 1986, Castaiios el al 1985, Hecht 1987, Le Blanc and Rowe 1988, 1989, a generalization of ordinary coherent state theory which parallels the holomorphic vector bundle construction (Bott 1957, Griffiths andSchmid 1969); geometric quantization (Kostant 1970, 1977, Kiriiiov 1976, Woodhouse iY8U, Guiiiemin a n d Sternberg 1982); boson expansion theories (Dobaczewski 1981, 1982, Klein and Marshalek 1990; freefield approach to the representation theory of the Virasoro and Kac-Moody algebras (Feigen andFrenkel 1990, Ito andKazama 1989). These constructions share a conimon problem: the highest weight Fock space modules are, in general, not irreducible, 0305-4470/9i/07i393+33~03.50 @ iv9i IOP Pubiishing Lid i393 nor completely reducible.…”