# Tag Info

1

Well, this is a problem of linear algebra substantially. The basic idea is that a square matrix $A$ is invertible if and only if $detA\neq 0$. Then, if the matrix is diagonalizable, since the determinant is invariant under coordinate transformations $A'=C^{-1}AC^1$, when you compute the determinant you get that, you get $detA=\lambda_1\dots\lambda_n$. (Note ...

4

Suppose the space-time group includes dilatations which expand or contract space. Points in space $x^{i}\in V_{3}$ transform under a small dilatation $\epsilon$ near the identity as, $$x'^{i}=x^{i}+\epsilon x^{i} \ .$$ The change in the coords is, $$\frac{d x^{i}}{d\epsilon}=x^{i}$$ In the Hamiltonian ...

10


Top 50 recent answers are included