I am currently testing several tensor-libraries in C++ for speed and performance. My tests are comprised of increasing size, dimensionality and complexity of the computation. But i would also like some "real-world" examples, to give perspective, on how well, they would work for "practicing" physicists. Could you maybe give some examples of some Tensor-calculations and equations, that i could use?
EDIT: Obviously, anything chemists or mathematicians have to do is also fine.