An application of the 3-dimensional q-deformed harmonic oscillator to the nuclear shell model

An analysis of the construction of a q-deformed version of the 3-dimensional harmonic oscillator, which is based on the application of q-deformed algebras, is presented. The results together with their applicability to the shell model are compared with the predictions of the modified harmonic oscillator.Comment: 12 pages, LaTe

Symmetries and staggering effects in nuclear rotational spectra

We study the fine structure of nuclear rotational spectra on the basis of both dynamical and discrete symmetry approaches. In this framework we show that the odd--even (Delta I = 1) staggering effects observed in various rotational bands carry detailed information about the collective band-mixing interactions and the collective shape properties of heavy nuclei.Comment: LaTeX, 4 pages plus 1 figure (.ps). To appear in the proceedings of the European Conference on the Structure of the Nucleus at the Dawn of the Century (Bologna, Italy, 29/5/00-3/6/00), ed. G. Bonsignori et a

Simplified boson realization of the soq(3)so_q(3) subalgebra of uq(3)u_q(3) and matrix elements of soq(3)so_q(3) quadrupole operators

A simplified boson realization of the $so_q(3)$ subalgebra of $u_q(3)$ is constructed. A simplified form of the corresponding $so_q(3)$ basis states is obtained. The reduced matrix elements of a special second-rank tensor operator (quadrupole operator) are calculated in the $so_q(3)$ basis.Comment: 13 pages, LaTeX. Uses ioplppt.sty, iopl12.st

Self-similar solution of fast magnetic reconnection: Semi-analytic study of inflow region

An evolutionary process of the fast magnetic reconnection in ``free space'' which is free from any influence of outer circumstance has been studied semi-analytically, and a self-similarly expanding solution has been obtained. The semi-analytic solution is consistent with the results of our numerical simulations performed in our previous paper (see Nitta et al. 2001). This semi-analytic study confirms the existence of self-similar growth. On the other hand, the numerical study by time dependent computer simulation clarifies the stability of the self-similar growth with respect to any MHD mode. These results confirm the stable self-similar evolution of the fast magnetic reconnection system.Comment: 15 pages, 7 figure