Recent content by It's me

Homework Statement Show that the radiation field is transverse, ##\vec{\nabla}\cdot\vec{A}=0## and obeys the wave equation ##\nabla^2\vec{A}-\frac{1}{c^2}\partial_t^2\vec{A}=0##. You should start from the expansion of the quantum Electromagnetic field. Homework Equations ##H=\frac{1}{2}\int...

Homework Statement Exact spin symmetry in the Dirac equation occurs when there is both a scalar and a vector potential, and they are equal to each other. What physical effect is absent in this case, that does exist in the Dirac solution for the hydrogen atom (vector potential = Coulomb and...

But wouldn't the two electron atom have different energies than the positronium because they are two identical particles?

Sorry, I forgot to mention that the electrons interact through a coulombic potential ##V=-e^2/r##. Two electrons can't be in a bound state attracting each other through this potential, as far as I understand.

Homework Statement If a system comprised only of two electrons was physically possible (such as positronium but with two electrons), what would its energy levels be and how would they relate to the energy levels of Helium? Homework Equations ##E_{Helium} = E_{n1}+E_{n2}=-\frac{\mu Z^2...

Actually he said he can't even tell me where it is documented because he's never worked on what he wants me to do, he just wants me to figure it all out on my own. So do you think I should choose a different project with a different supervisor?

I forgot to mention that I was working with my supervisor and he can give me access, but he made it clear that he won't help me understand the code. He was the one who chose calorimeters and LHCb. I just need to know if once I have access there is any way I can make sense of it if I have no...

I want to do a project using machine learning on the calorimeter event data of the LHCb. How can I access this data? Is it very difficult to navigate your way through the source code on your own?

If I show that, does Noether's theorem immediately guarantee such a continuity equation?

Homework Statement Consider the Klein-Gordon equation ##(\partial_\mu \partial^{\mu}+m^2)\varphi(x)=0##. Using Noether's theorem, find a continuity equation of the form ##\partial_\mu j^{\mu}=0##. Homework Equations ##(\partial_\mu \partial^{\mu}+m^2)\varphi(x)=0## The Attempt at a Solution...

Homework Statement 1. Homework Statement [/B] Prove the potential energy of interaction between an electric charge ##q## moving with velocity ##\vec{v}## and an electromagnetic field with potentials ##V## and ##\vec{A}## is given by ##U = qV-q \vec{v} \cdot \vec{A}## Homework Equations...

Ok thanks, I really appreciate your help.

Thank you very much, I had the feeling something was wrong when the math just didn't agree with the statement. Do you know of any property that is similar to the one I was trying to prove? I mean, if the problem is mis-stated, any ideas as to what the correct statement is?

Homework Statement Prove that a current density J(r, t) such that ∇ × J = 0 implies the magnetic field B = 0.Homework Equations Maxwell's equations, vector calculus The Attempt at a Solution I've played around with Maxwell's equations and with the properties of vector calculus but I can't...

I did that and got #\vec{E}#, but I still don't understand what equation to use to get the velocity.