経路積分問題

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

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

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

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

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

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

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

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

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

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

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

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