This week I have been working on a variety of topics, but I’d like to post about some sagemath knot theory investigations I‘ve been doing. This is connected to one of my longer term aims, which is to perform SU(2) recoupling calculations based on Temperley-Lieb algebras using Sage Mathematics Software. Essentially I would like to to write a set of tools for doing SU(2) recoupling theory, Penrose binor calculus and Temperley—Lieb algebra calculations using sagemath.
Lets see what sagemath can do:
- Sagemath 18: Calculation of the Matrix Elements of Thiemann’s Hamiltonian Constraint in Loop Quantum Gravity (quantumtetrahedron.wordpress.com)
- A generalized Hamiltonian Constraint Operator in Loop Quantum Gravity and its simplest Euclidean Matrix Elements by Gaul and Rovelli (quantumtetrahedron.wordpress.com)