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Problem 7-5The result in another way is\begin{equation}\def\ppdiff#1#2{\frac{\partial #1}{\partial #2}}\left\langle\frac...

Problem 7-4Consider the path integral\begin{equation}\def\ppdiff#1#2{\frac{\partial #1}{\partial #2}}\int \mathscr{D}x(t...

Problem 7-3Show that \(\displaystyle{\frac{\delta F}{\delta j(\mathbf{r},s)}}\), where\begin{equation}\def\mb#1{\mathbf{...

Problem 7-2If \(F=x(\tau)\), show that \begin{equation}\frac{\delta F}{\delta x(s)}=\delta(\tau-s)\tag{7-26}\end{equatio...

Problem 7-1If \(\displaystyle{S=\int_{t_1}^{t_2} L(\dot{x},x,t)\,dt}\), show that, for any \(s\) inside the range \(t_1\...

Problem 6-12Assume that \(V(\mathbf{r})\) is independent of time and show that the time integral of the second-order sca...

Problem 6-11Suppose the diatomic molecules are oriented in a random fashion. Show that the electron scattering averaged ...

Problem 6-10Consider a diatomic molecule containing two atoms, \(A\) and \(B\), arranged with their centers at the point...

Problem 6-9Suppose we introduce the fact that the atomic nucleus has a finite radius given by\begin{equation}\def\mr#1{\...