経路積分問題

経路積分問題

問題 9-5 の解答例

Problem 9-5 The momentum in the field is given by \begin{equation} \def\mb#1{\mathbf{#1}} P_{rad}=\frac{1}{4\pi ...
経路積分問題

問題 9-4 の解答例

Problem 9-4 In Sec. 2-1 we discussed the mechanisms for obtaining the mechanical equations of motion from the form ...
経路積分問題

問題 9-3 の解答例

Problem 9-3 Prove that the relation \(\phi_{\mathbf{k}}=4\pi\rho_{\mathbf{k}}/k^{2}\) simply means that \(\phi_{\ma...
経路積分問題

問題 9-2 の解答例

Problem 9-2 Explain why the charge density corresponding to a single charge \(e\) located at the point \(\mathbf{x}...
経路積分問題

問題 9-1 の解答例

Problem 9-1 Show that \(\def\mb#1{\mathbf{#1}}\mb{E},\,\mb{B}\), and \(\mb{k}\) are muturally perpendicular for thi...
経路積分問題

問題 8-7 の解答例

Problem 8-7 It is believed that neutral particles of spin zero (like neutral pions) can, when free, be represented ...
経路積分問題

問題 8-6 の解答例

Problem 8-6 Show that the constants \(a_{j\alpha}\) are the same even if the coupling is not just to the nearest ne...
経路積分問題

問題 8-5 の解答例

Problem 8-5 A transition element which employs the same wave function as both the initial and final states is calle...
経路積分問題

問題 8-4 の解答例

Problem 8-4 Show that the ground-state wave function for the lagrangian of Eq. (8-78) can be written \begin{equati...
経路積分問題

問題 8-3 の解答例

Problem 8-3 Show that \(Q^{c}_{\alpha}\), \(Q^{s}_{\alpha}\) are normanl coordinates, representing, however, standi...
経路積分問題

問題 8-2 の解答例

Problem 8-2 Show that the matrix \begin{equation*} \tau_{jk}=\sum_\alpha \frac{a_{j\alpha}a_{k\alpha}}{\omega_\al...
経路積分問題

問題 8-1 の解答例

Problem 8-1 Note that the amplide to go from any state \(f(x)\) to another state \(g(x)\) is the transition amplit...