経路積分問題

経路積分問題

問題 6-1 の解答例

はてなブログ:「ファインマンさんの肩に乗って晴耕雨読の日々」に書いていた記事を今日から順にこちらに移していこう.先ずはファインマン経路積分の第6章の問題をまとめて移してしまう. Problem 6-1 Suppose the...
経路積分問題

問題 6-29 の解答例

Problem 6-29 Suppose two perturbations, \(V(x,t)\) and \(U(x,t)\), are acting. (Examples include a combination of D...
経路積分問題

問題 6-28 の解答例

Problem 6-28 Show that when a transition is impossible either directly or through a single intermediate state, but ...
経路積分問題

問題 6-27 の解答例

Problem 6-27 Derive the perturbation expansion up through the terms of the second order for potentials periodic in ...
経路積分問題

問題 6-26 の解答例

Problem 6-26 Suppose we have two discrete energy levels \(E_{1}\) and \(E_{2}\), neither of which is in the continu...
経路積分問題

問題 6-25 の解答例

Problem 6-25 It has been argued that the equations of the electrodynamics must, like those of mechanics, be convert...
経路積分問題

問題 6-24 の解答例

Problem 6-24 Suppose that the potentical \(V\) is periodic in time. For example, suppose \(V(x,t)=V(x)\big(e^{i\ome...
経路積分問題

問題 6-23 の解答例

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

問題 6-22 の解答例

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 c...
経路積分問題

問題 6-21 の解答例

Problem 6-21 Consider the special case that the perturbing potential \(V\) has no matrix elements except between th...
経路積分問題

問題 6-20 の解答例

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 smo...
経路積分問題

問題 6-19 の解答例

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