Recent content by Yellotherephysics

Thanks for linking, your notes look really good vanhees71! Would this be a fair summary for the Heat-Kernel method (starting on page 93 of the linked notes)? If we call the operator we're interested in H. Work out the propogator ## \langle x | exp(- H \theta) | x' \rangle ## Then get some kind...

So in particular, how could the determinant of some general "operator" like $$ \begin{pmatrix} f(x) & \frac{d}{dx} \\ \frac{d}{dx} & g(x) \end{pmatrix} $$ with appropriate boundary conditions (especially fixed BC), be computed? And assuming that it diverges, would it be valid in a stationary...