Wigner'sD-matrix elements forSU(3) - a generating function approach

Wigner’s D-matrix elements for SU(3) - A Generating Function Approach

A generating function for the Wigner’sD-matrix elements of SU(3) is derived. From this an explicit expression for the individual matrix elements is obtained in a closed form. PACS number(s): Typeset using REVTEX ∗[email protected] 1

Generating two-dimensional oscillator matrix elements sorted by angular momentum

Generating functions are found for two-dimensional harmonic-oscillator integrals. These integrals are classified by angular momentum, permitting inclusion of a constant magnetic field. A generating function is obtained for matrix elements of a Gaussian perturbation, and as an example these are used to compute eigenstates for a particle in a wine bottle-bottom potential. Along with this specific...

A Mthod for Generating the Turbulent Intermittency Function

A detection method based on sensitization of a squared double differentiated signal is developed which discriminates the turbulent zones from laminar zones quite accurately. The procedure adopts a variable threshold and a variable hold time of the order of the Kolmogorov time scale. The output file so generated, includes all the information for further analysis of the turbulent signal.

Finite Groups With a Certain Number of Elements Pairwise Generating a Non-Nilpotent Subgroup

A tensor approach to two-electron matrix elements

We present a new algorithm, the COLD PRISM, for computing matrix elements in molecular orbital calculations. Whereas traditional approaches form these from two-electron repulsion integrals ~ERIs! which, in turn, are formed from shell-pair data, we introduce several alternative paths that do not involve ERIs as intermediates. Tensor multiplication can be used as the basic arithmetic operation on...