Recent content by christianpoved

Homework Statement Show that the energy levels of a double square well V_{S}(x)= \begin{cases} \infty, & \left|x\right|>b\\ 0, & a<\left|x\right|<b\\ \infty, & \left|x\right|<a \end{cases} are doubly degenerate. (Done) Now suppose that the barrier between -a and a is very high, but finite...

Homework Statement suppose you have an 1-dimensional system with a charge distribution ##\rho(x)## (not given) moving with an speed ##v(x)##, calculate the potential ##\phi(x)## and the charge distribution ##\rho(x)## in the quasistatic limit ##\frac{d}{dt}=0##. Homework Equations...

Hahahahahaha, I will check it again after i take QM but I have to do it for some "Geometry for physicists" course that I'm taking, is sad that the math is clear but not the physics :(

Whoa... thanks, but I feel that i don't understand the solution (i haven't taken the QM course yet), why are they using the pauli matrices in the hamiltonian?

Hello everybody, I have a curious exercise, there is a 1/2 spin particle in a magnetic field ##\vec{B}(t)## with ##||\vec{B}(t)||## constant, orientated in an angle ##\theta## from the ##z## axis rotating with an angular speed ##\Omega##. The hamiltonian will be $$H(t)=-\vec{S}\cdot\vec{B}$$...

In electromagnetism we introduce the following differential form \begin{array}{c} \mathbb{F}=F_{\mu \nu}dx^{\mu}\wedge dx^{\nu} \end{array} Then the homogeneus Maxwell equations are equivalent to: \begin{array}{c} d\mathbb{F} = 0 \end{array} And is nice, but what purpose does this have...

You know that strong force keeps the nucleus together, then the system must be in equilibrium, then the strong force must be equal to the coulomb force between the protons

Hey! the answer is "no", that's not right this doesn't have anything to do with power. Everything falls with the same acceleration because this acceleration is independent of the mass, some easy calculations can be done to show it.

Analysis is "just" a formalization of all the topics you took in your calculus courses. In first instance analysis won't be helpful but will help you to open your mind and will be useful when you get into another mathematical topics, but perse is not helpful in engineering.

Oh yeah, I also have some questions about the exterior derivative and Maxwell equations but I'll ask this another time

Hey! Maybe this is a "piece of cake" question, but here is the thing, i have the Maxwell equations in the Lorenz gauge are \begin{array}{c} \partial_{\mu}\partial^{\mu}A^{\nu}=\mu_{0}j^{\nu} \end{array} In vacuum this gets reduced into \begin{array}{c} \partial_{\mu}\partial^{\mu}A^{\nu}=0...

Wow, thanks everybody for the examples, everything seems useful now!

Hello everybody, I am an undergrad physics student and I'm taking some "Geometry and Topology for physicist" course. We saw Lie Derivative some time ago and I still don't know how can I use it on physics, can anyone give me some examples? thanks

Thanks! I ended up solving it yesterday taking the curl in 3, but taking the time derivative works as well. :)

Homework Statement To solve the wave equations in vacuum for ##\vec{E}## and ##\vec{B}## we made the ansatz: \begin{array}{cc} \vec{E}\left(\vec{r},t\right)=\vec{E}_{0}\cos\left(\vec{k}\cdot\vec{r}-\omega t+\delta\right)...