経路積分問題

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

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

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

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

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

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

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

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

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

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

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

Problem 6-16 Interpret 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 \(...