Fermi's Golden Rule Part 4 - Governing Differential Equations

If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible.

In this video, I use the inner product and some even/odd symmetry properties stolen from physical chemistry to derive the governing differential equations when you apply light to a two-level system. The resultant equations can actually be solved with known initial conditions, and that solution is Fermi's Golden Rule.

This is part of my graduate series on optoelectronics / photonics, and is based primarily on Coldren's book on Lasers as well as graduate-level coursework I have taken in the EECS department at UC Berkeley.

Hope you found this video helpful, please post in the comments below anything I can do to improve future videos, or suggestions you have for future videos.

[BoneBreakable]

Your explanations are so incredibly better than our PD's, he just skips so many important parts to understand Fermi's Golden Rule that it's just too abstract! Thanks so much!

[sharairamirez]

I've watched parts 1, 2, and 3 of Fermi´s Golden Rule and they're amazing! You really helped me a lot. Thank you so much c:

[reubenroy]

thank you for these videos, they are a breath of fresh air compared to many other videos that simply go over the math

[eneskutayisgorur]

I am studying bixon-jortner model and this model includes fermi's golden rule for a few calculations. I've watched your videos and everything starts to seem clear. Thank you. Can you make videos about bixon-jortner model too ? It would be very helpful since there is no video on youtube that explains it.

[hjhjj]

That was great, thanks .what is the name for the method that we could use to solve the matrix element?

[lookaway]

@8.24 why can't you take psi_2 as an even function or an odd function just like you took for psi_1?