Jordan Edmunds's video: Momentum Matrix Element vs Dipole Matrix Element

https://www.patreon.com/edmundsj 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 go over how to get the perturbing hamiltonian which (if you go through Fermi's golden rule derivation all over again), you will get that the transition probability can now be written in terms of the derivative of the wavefunction rather than a spatial coordinate. 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.