Recent content by Icaro Lorran

> Note: I am using SageMath to do the manipulations, I will attach it with the post I modeled the problem as a cylinder of height ##\Delta z## and anisotropic conductivity: the conductivity along the axis is different from the one along the radius. Using ##J = \sigma E##, where ##\sigma## is a...

Consider the map ##\phi (t,s) \mapsto (f(t,s),g(t,s))##, a point belonging to the envelope of this map satisfy the condition ##J_{\phi}(t,s)=0##. What is the role of the Jacobian in maps like these and why points in the envelope have to satisfy ##J_{\phi}(t,s)=0##?

##\langle \psi | A## means in traditional matrix notation ##\psi ^\dagger A##. Similarly, if you try to put the A inside the bra like ##\langle A^\dagger \psi |##, you'll have ##\left({A^\dagger}\psi \right)^\dagger##, which is the same thing.

Got it

Wow, that was a hell of a evaluation. Thank you for helping me out!

So just ##(-1)^l |l,-m \rangle ## then

But that is what I did

How about this? If it isn't, I'll need help. ##(-1)^l \frac{(l-m)!}{(l+m)!}|l,-m \rangle##

Just to verify the answer, should it be ##(-1)^{(l+m)} |l,m \rangle##?

I'll try that, thank you

By expanding ##\exp \left( - \frac{i \pi L_x}{\hbar}\right) |l,m\rangle## into a Cartesian basis like ##\int \exp \left( - \frac{i \pi L_x}{\hbar}\right)| x,y,x \rangle \langle x,y,z |l,m\rangle \mathrm{dV}## it would be possible to use the operator in the xyz ket so that it could be simplified...

Homework Statement The problem originally asks to evaluate ##exp(\frac{-i\pi L_x}{h})## in a ket |l,m>. So I am wondering if I can treat the operator as a parity operator or if I really have to expand that exponential, maybe in function of ##L_+## and ##L_-##. 2. The attempt at a solution If...