経路積分問題

Problem 9-10 In order to study the electromagnetic energy correction \(\delta E\), we shall consider the simplest case: ...

Problem 9-9 For a complicated system moving nonrelativistically \begin{equation} \def\mb#1{\mathbf{#1}} (j_{1\mb{k}})_{N...

Problem 9-8 For the state for which there is just one photon present in level \(\def\mb#1{\mathbf{#1}}1\mb{k}\), all of ...

Problem 9-7 Show, for the vacuum state, the mean value of \(a_{1\mathbf{k}}^{*}a_{1\mathbf{l}}\) is \((\hbar/2kc)\delta_...

Problem 9-6 The wave function for the set of oscillators is just the product of the wave functions for each mode. For th...

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

Problem 9-4 In Sec. 2-1 we discussed the mechanisms for obtaining the mechanical equations of motion from the form of th...

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

Problem 9-2 Explain why the charge density corresponding to a single charge \(e\) located at the point \(\mathbf{x}(t)=(...

Problem 9-1 Show that \(\def\mb#1{\mathbf{#1}}\mb{E},\,\mb{B}\), and \(\mb{k}\) are muturally perpendicular for this pla...

Problem 8-7 It is believed that neutral particles of spin zero (like neutral pions) can, when free, be represented by a ...

Problem 8-6 Show that the constants \(a_{j\alpha}\) are the same even if the coupling is not just to the nearest neighbo...