✍ Scribed by J.P. Draayer; Y. Leschber; S.C. Park; R. Lopez
No coin nor oath required. For personal study only.
An interactive FORTRAN code for determining the representations of U(3) that occur in a representation of U(N) is introduced. The U(N) -' U(3) chain is the basic group structure of the isotropic oscillator in three dimensions. In particular, N (n + lXn + 2)/2 is the degeneracy of the shell with n quanta per level. Since the oscillator potential is a good starting approximation for the self-consistent field that binds nucleons in the nucleus, motivation for the work comes from nuclear physics, and in particular, from studies of quadrupole collective phenomena in deformed nuclear systems. A PASCAL version of the program, which is simpler because the basic algorithm is a recursive one, is also available.
📜 SIMILAR VOLUMES
There are three distinct generalized Gelfand᎐Graev representations of the Ž . unitary group U 3, q . One is the regular representation and one is the usual Gelfand᎐Graev representation. The third generalized Gelfand᎐Graev representation is the one we examine in this paper.
In this paper we explicitly calculate the irreducible representations of the endomorphism algebra of the Gelfand᎐Graev representation of the unitary group Ž . U 3, q . In addition, we compute the structure constants of this endomorhphism algebra.
L@t rnoasurcments made during the afterglow oi pure nitrogen and helium-nitrogen mixtures indicate that mutual collisions of the N?(A 'XL) molecule are responsible for the formation of the Nz(C3n,) and Nz(C?nu) states. Results for the latter state arc in agreement with other workers. A value for th