Seems I've pretty much forgot all of my vector calculus as well as operator priorities. I got the right thing though after some research on my textbooks
Rule 7 on Griffiths E-M...
Homework Statement
I am watching a course on Relativistic Quantum Mechanics to freshen up, and I have found to have some issues regarding simple operator algebra. This particular issue on the Pauli Equation (generalization of the Schrodinger equation that includes spin corrections) in an...
I wrote the delta function just plain following Paschos's book, assuming I should be doing it according to some QFT rule. Didn't really make much use of it and pretty much ignored it, but getting the x=y properties along the way.
Now that's more like it samalkhaiat, that's along the lines of...
Homework Statement
I'm having a bit of trouble evaluating the following commutator
$$ \left[T^{+},T^{-}\right] $$
where T^{+}=\int_{M}d^{3}x\:\bar{\nu}_{L}\gamma^{0}e_{L}=\int_{M}d^{3}x\:\nu_{L}^{\dagger}e_{L}
and...
My misconception was cleared when I realized I was trying to express the transformed Lagrangian with respect to \phi^{'}(=e^{i\theta}\phi) and the original A_{\mu} and not, as I should correctly do, with the transformed A^{'}_\mu. It was brought to my attention and this matter cleared out. What...
I asked this question to PhysicsStackExchange too but to no avail so far.
I'm trying to understand the way that the Higgs Mechanism is applied in the context of a U(1) symmetry breaking scenario, meaning that I have a Higgs complex field \phi=e^{i\xi}\frac{\left(\rho+v\right)}{\sqrt{2}}
and...
I think I get what you're saying, thanks. I'd be obliged if you'd elaborate on the second order deviations but nevertheless I can roughly see what's going on !
Hey there, recently been studying Optics in Feynman's book vol.1 and came across his geometrical approach of Fermat's least time theorem and its application on refraction. So he illustrates refraction geometrically like this (attached jpeg for those without the book)
and so he goes on to say...
Homework Statement
Its simple, I've encountered this problem in Beiser's book and it doesn't seem right:
Prove that the function R_{10}(r) = \frac{2}{a_{0}^{3/2}}\cdot e^{-\frac{r}{a_0}} is normalized.Homework Equations
\int_{-\infty}^{\infty} |\psi|^2 dV = 1
The Attempt at a Solution
I...
Yep.
K=\sqrt{m_{0}^{2}c^{4}+p^{2}c^{2}}≈pc
so
p=\frac{1,6\cdot10^{-16} J}{3\cdot10^{8} \frac{m}{s}}=0,533 \cdot 10^{-24} kg\cdot\frac{m}{s}
and because Δp=\frac{1,05\cdot10^{-34}J\cdot s}{2\cdot 10^{-10}m}=0,525\cdot 10^{-24} kg\cdot \frac{m}{s}
we get
\frac{Δp}{p}≈0,98
:(