経路積分問題

経路積分問題

問題 6-10 の解答例

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

問題 6-9 の解答例

Problem 6-9 Suppose we introduce the fact that the atomic nucleus has a finite radius given by \begin{equation} \...
経路積分問題

問題 6-8 の解答例

Problem 6-8 In an atom the potential follows the Coulomb law only for very small radii. As the radius is increased ...
経路積分問題

問題 6-7 の解答例

Problem 6-7 Suppose the potential energy \(V(\mathbf{r})=-e\phi(\mathbf{r})\) is the result of a charge distributio...
経路積分問題

問題 6-6 の解答例

Problem 6-6 Suppose the potential is that of a central force. Thus \(V(\mathbf{r})=V(r)\). Show that \(v(\mathbf{q}...
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 ...