Recent content by drop_out_kid

If V is bigger than this , there's no possible energy.(from the two eqs of B/A)

But I can determine the upper bound of V by Tangent function asymptotic line right? Not sure but I get sth like V<=Pi^2*hbar^2/(8mL)

Some new progress: I still didn't find way to normalise this.. Perhaps problem doesn't require it idk, and I am analyze this equation: $$ \alpha \triangleq\sqrt{E} \ \ \gamma \triangleq\sqrt{\frac{2m}{\hbar^2}}L \ \ tan(\gamma\alpha)=-\sqrt{\frac{\alpha^2}{V-\alpha^2}}\ \ (\gamma,V\ \ are\ \...

And congratulation to myself, markdown finally worked.

So I have come up with my solution(attempt) which is: where ( $$\psi_ 1 \triangleq Asin(kx),0<x<L$$ $$\psi_ 2 \triangleq Be^{-sx},x>L$$ $$k \triangleq \sqrt{\frac{2mE}{\hbar^2}} $$ $$s \triangleq \sqrt{\frac{2m(V-E)}{\hbar^2}} $$) But this has a serious problem about boundary: I think...

let me say from this. does the particle in the finite well must have a integer number of wavelengths?

Also, may I ask that, if potential V0 > 0 and it's a constant, so when the particle with E > V0 pass this potential barrier, the wave amplitude doesn't change but the wavenumber decrease right(Some energy convert to potential energy?) and where the energy transfer to?

So, it is trying to solve this eqs right, there are two variables , alpha and k, all related to E , so when this stands, there will be a valid E. the question is , the valid E for both of them are not stand together, how can there be "combined solutions"?

So ,solution only fit for one of them , the other one is not zero , how can that be solution?? I am pretty new to quantum physics..

Sorry I didn't get what that even is. We didn't learned that, I assume that's a ground state sinusoidal wave function?

Supplyment: For <x^2> for <x> it's simply L/2 for <p> it's simply 0 for <p^2> it's by sin^2 integration.

So I think I use the right approach and I get uncertainty like this: And it's interval irrelevant(ofc), So what kind of wave function gives us \h_bar / 2 ? I guess a normal curve? if so, why is normal curve could be? if not then what's kind of wave function can reach the lower bound

From eqs 1 I can get r is exponential, question is to get y/x or other relation from eqs 2

I came up with these: (especially not sure if second is right)

So I don't understand "due north from a position at colatitude ##\theta## " , whether how I translate it... I keep getting that direction should be radial...(toward Earth CM) This is my work: Thank you so much!