Sean Vig's 2011 GSOC Project

Developing Wigner-3nj Symbols in SymPy

Finishing Current Coupled Spin Work

This last week I made some good headway towards finishing up the coupled spin state work for the coupling of two spin spaces. The decision was made that spin states should not contain any information as to their coupling, which greatly simplifies not only the code, but also the allowable cases when it comes doing things such as applying operators, rewriting, etc. As such, I am very close to finalizing this stage in the coupled spin work. I will try to fix up the implementation for some symbolic cases that should be doable under the current implementation, but all the current code has tests implemented and docstrings in place, so a pull request will be coming up shortly.

With this stage finishing, I will be moving on to generalizing the current implementation to coupling between more than two spin spaces. I will first need to expand to include Wigner-6j/9j/etc symbols to describe the coupling between these additional spaces. The logic for spin states will need to be reworked as well, not only to implement these new terms for coupling additional spin spaces, but most of the logic will need to be reworked to allow for an arbitrary number of coupled spin spaces.

While the change to get rid of what would be considered a coupled spin state (that is a state where the state has defined the coupled spaces) does simplify the current implementation, it does limit what can be done. For example, an uncoupled operator could not be applied to a coupled state, as the coupled states would need to be uncoupled, which is only possible if the j values of the coupled states is known. However it was suggested by Brian that a new class be created to deal with coupled states in this sense. Time permitting, I will begin to look at the possibility of implementing such a feature into the current spin framework.