Tensor calculus for physicists
Loris Delafosse · HAL (Le Centre pour la Communication Scientifique Directe) · 2024
Tensors are quite general mathematical objects, used in almost all areas of physics, from continuum mechanics to general relativity and quantum physics. Beginning with a reminder of some useful concepts of linear algebra, this seminar introduces the notion of tensor, discusses its relation with metrics, covariance and contravariance in Euclidean and Minkowski spaces, and eventually presents tensor products in the context of quantum mechanics.