経路積分問題

経路積分問題

問題 6-5 の解答例

Problem 6-5 The integral over \(t\) in Eq. (6-28) can be performed approximately using the method of stationary pha...
経路積分問題

問題 6-4 の解答例

Problem 6-4 Using arguments similar to those leading to Eq. (6-19), show that the wave function \(\psi(b)\) satisfi...
経路積分問題

問題 6-3 の解答例

Problem 6-3 For a free particle, Eq. (4-29) reduces to \begin{equation} \def\pdiff#1{\frac{\partial}{\partial #1}...
経路積分問題

問題 6-2 の解答例

Problem 6-2 Suppose a system consists of two particles which interact only through a potential \(V(x,y)\), where \(...
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...