Recent content by acdurbin953

Hmm. I guess that makes sense about the sudden perturbation removal causing an energy change. I'll give it go with applying TDPT for the first two cases t= T/2 and 3T/2. When the perturbation is removed, can the precise energy really be calculated? Given that we don't really know exactly how...

Homework Statement At t < 0 we have an unperturbed infinite square well. At 0 < t < T, a small perturbation is added to the potential: V(x) + V'(x), where V'(x) is the perturbation. At t > T, the perturbation is removed. Suppose the system is initially in the tenth excited state if the...

φ is the eigenstate of H, right? How do you calculate the eigenstates of H? Are they solutions of the differential equation that represents H? Side question: In the case of the infinite well is it correct that H = V because the momentum is always going to be 0?

Homework Statement Is state ψ(x) an energy eigenstate of the infinite square well? ψ(x) = aφ1(x) + bφ2(x) + cφ3(x) a,b, and c are constants Homework Equations Not sure... See attempt at solution. The Attempt at a Solution I have no idea how to solve, and my book does not address this type...

Hmm, I should have prefaced my question - the class I am in is an intro course, and our professor told us we'd only be working with either spin 1/2 or spin 1 systems. I know that the concept applies to all kinds of Hamiltonian operators. For this exam it was specified that all systems would be...

The bold text makes sense to me, however I'm confused now about the hydrogen atom state. Is the state you wrote a spin 1/2 state? I think we are only dealing with spin 1/2 states, and we have yet to have any homework/practice problems where a superposition state was stationary and any observable...

Homework Statement I apologize, this is not really a homework problem. I have an exam coming up, and I need to be able to explain the difference between a stationary/non-stationary quantum state in a qualitative way, and in what cases these states have time dependent probabilities. I am hoping...

Right - yeah if the original equation I had used is correct I'll stick with that. Thanks for your help!

Thank for the insight that the direction does not affect the Hamiltonian - I hadn't realized that. Starting from the beginning, I let my prepared state be |ψ(0)> = |+>. This enters the B-field and since the probability is dependent on time, I need to apply U = eiωt/2 to my time evolved state...

Homework Statement A beam of identical neutral particles with spin 1/2 travels along the y-axis. The beam passes through a series of two Stern-Gerlach spin analyzing magnets, each of which is designed to analyze the spin projection along the z-axis. The first Stern-Gerlach analyzer only allows...

Does it mean that the imaginary part of the LHS would be the real y value of the RHS? Since i(x+iy) = ix+y. When I initially started the problem I wrote |x +iy +3| = 1-ix+y, but I really didn't know what I would do with that.

Yes. I know now that the absolute value of the LHS makes everything real, and that |z+3| is some non-negative value. Also, since |z+3| is real, iz must also be real. What I don't understand is the direction I'm supposed to go with that information. And I don't know what that means for y. I'm...

I don't get it then. What am I missing? What other value is z supposed to have?

Okay so since |z+3| ≥ 0 does that mean I can now interpret the equation as |z+3| = 1+3i → |z| = -2+3i? I don't think I can, since then r = √13.

Homework Statement Find real x and y, for which |z+3|=1-iz Homework Equations z=x+iy=reiθ=rcos(θ) + rsin(θ)i The Attempt at a Solution I know that there must exist some x and y which satisfies both of these equations, since the real part of the LHS must be the same as the RHS, and same with...