経路積分問題

経路積分問題

問題 6-10 の解答例

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

問題 6-9 の解答例

Problem 6-9Suppose we introduce the fact that the atomic nucleus has a finite radius given by\begin{equation}\def\mr#1{\...
経路積分問題

問題 6-8 の解答例

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

問題 6-7 の解答例

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

問題 6-6 の解答例

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

問題 6-5 の解答例

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

問題 6-4 の解答例

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

問題 6-3 の解答例

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

問題 6-2 の解答例

Problem 6-2Suppose a system consists of two particles which interact only through a potential \(V(x,y)\), where \(x\) re...
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 6-1Suppose the potential...
経路積分問題

問題 6-29 の解答例

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

問題 6-28 の解答例

Problem 6-28Show that when a transition is impossible either directly or through a single intermediate state, but requir...