#PhysicsFactlet If you want to represent a vector in a non-orthogonal basis you have two choices to find the components: project normal to the basis ("covariant components") or project parallel to the other basis vectors ("contravariant components"). #Visualization#Geometry#Vectors
There's a related question I've struggled with - maybe you can help: How can one efficiently normalize a multi-fermion wave function composed of a determinant of single particle orbitals which are not orthogonal to each other?