Recent content by ianmgull

Homework Statement [/B] Calculate the rate of ionization of a hydrogen atom in the 2p state in a monochromatic external electric field, averaged over the component of angular momentum in the direction of the field. Ignore the spin of the particles. In this case we can write...

Homework Statement I as just hoping someone could help me parse the notation here. What does the superscript "d" mean in the differential of the integral? Thanks!

Thanks for the reply. Your last point makes sense. I'm still having trouble wrapping my mind around matrix exponentials and forgot that the exponential would actually be a matrix. I calculated the various powers of H like you mentioned. I definitely see a pattern: For Hn, the individual...

Homework Statement Part e) Homework Equations I know that the time evolution of a system is governed by a complex exponential of the hamiltonian: |psi(t)> = Exp(-iHt) |psi(0)> I know that |psi(0)> = (0, -2/Δ) The Attempt at a Solution I'm stuck on part e. I was told by my professor...

Ok. Thank you for your help.

So |psi>= a(|R>|B>) where a is a normalization constant? If so, what is the justification for dropping the first term?

Yes, that's what I meant (I edited my post). In the original question, psi is the state of two entangled particles. Does that mean that after the measurement of Red is obtained (for the first particle), that psi now looks like the following? |psi>= (1/sqrt2)(|R>|R> - |R>|B>) So the...

What I've gathered from postulate 3, is that a measurement produces an eigenvalue (-1 in this case). After the measurement is made, the wavefunction collapses onto one of the eigenstates of the operator. This being the case, is it true that after the measurement is made, that the wavefunction...

Thanks for the reply. I'm not sure I understand though. Is it not true that -|psi> is representative of the state after a measurement of down (or Red in this case)?

My concern is that I don't know if psi is given as an eigenstate of the operator C, so I don't know if I can assume that a measurement will return one of the two eigenvalues on psi.

Homework Statement Homework Equations I know that there are two eigenstates of the operator C: |B> = (1 0) as a column vector with eigenvalue 1 |R> = (0 1) also a column vector with eigenvalue -1 The Attempt at a Solution I'm attempting to solve part c (second image). My initial...

Awesome. THANK YOU

I just worked it out and that makes much more sense. I'm still a little unclear on (conceptually) what meaning I should attribute to taking the expectation value of an operator (like above) vs a projection operator. Thanks so much!

Homework Statement Homework Equations I know that there are two eigenstates of the operator C: |B> = (1 0) as a column vector with eigenvalue 1 |R> = (0 1) also a column vector with eigenvalue -1 The Attempt at a Solution My work is shown here: If anyone could point me in the right...

Thanks for the feedback everyone. To answer a few questions: The subfield I'm currently performing research in is experimental condensed matter. I enjoy this, and am probably most likely to pursue this, but I'm also interested in experimental nuclear physics as well. I neglected to mention...