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Representations of U(3) in U(N) by J.P. Draayer; Y. Leschber; S.C. Park; R. Lopez is a Physics and Astronomy article available to read on EtoBox.

What is Representations of U(3) in U(N) about?

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.

Who reads Representations of U(3) in U(N)?

Author

J.P. Draayer; Y. Leschber; S.C. Park; R. Lopez

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0010-4655)

Published

1989

Language

EN

Field

Physics and Astronomy (Physical Sciences)