経路積分問題

Problem 6-27Derive the perturbation expansion up through the terms of the second order for potentials periodic in time.(...

Problem 6-26Suppose we have two discrete energy levels \(E_{1}\) and \(E_{2}\), neither of which is in the continuum. Le...

Problem 6-25It has been argued that the equations of the electrodynamics must, like those of mechanics, be converted to ...

Problem 6-24Suppose that the potentical \(V\) is periodic in time. For example, suppose \(V(x,t)=V(x)\big(e^{i\omega t}+...

Problem 6-23Show that the same result is obtained for \(\newcommand{\mb}{\mathbf{#1}} d\sigma/d\Omega\) even if the wave...

Problem 6-22In Prob. 6-21 we have \(V_{12}=V_{21}\), so that \(V_{12}\) is real. Show that even if \(V_{12}\) is complex...

Problem 6-21Consider the special case that the perturbing potential \(V\) has no matrix elements except between the two ...

Problem 6-20Suppose \(V\) is turned on and off slowly. For example, let \(V(x,t)=V(x)f(t)\), where \(f(t)\) is smooth, a...

Problem 19Consider \(\lambda_{m n}(t_{2})\) as a function of the final time \(t_2\). Show, using either Eq. (6-75) or Eq...

Problem 6-18Derive and interpret the integral equation\begin{equation}\lambda_{m n}(t_{2},t_{1})=\delta_{m n}\,e^{-iE_{m...

Problem 6-17Interpret Eq. (6-72) by explaining the meaning of each term. Then explain and verify the equation for the se...

Problem 6-16Interpret Eq.(6.71) as a sum over alternatives; i.e., identify the alternatives.(解答例)　時刻 \(t_3\) に於ける状態 \(n\...