{c}
{tag=1927 Nobel Prize in Physics}
{title2=1923}
{wiki}

Classic theory predicts that the output frequency must be the same as the input one since the electromagnetic wave makes the electron vibrate with same frequency as itself, which then irradiates further waves.

But the output waves are longer because <Planck-Einstein relation>[photons are discrete and energy is proportional to frequency]:

The formula is exactly that of two <relativistic> billiard balls colliding.

Therefore this is evidence that <photons> exist and have momentum.

\Video[http://youtube.com/watch?v=uICnnfYHYJ4]
{title=Compton Scattering by Compton Scattering (2017)}
{description=Experiment with a <caesium-137> source.}

\Video[http://youtube.com/watch?v=WR88_Vzfcx4]
{title=L3.3 Compton Scattering by <Barton Zwiebach> (2017)}


Compton scattering

{c}
{wiki=Hydrogen-like_atom\#Solution_to_Dirac_equation}

Predicts <fine structure>.

Bibliography:
* <video Quantum Mechanics 12b - Dirac Equation II by ViaScience (2015)> https://youtu.be/tR6UebCvFqE?t=549

\Video[https://www.youtube.com/watch?v=lr4HqQ_sLO0]
{title=<Dirac equation> for the <electron> and <hydrogen> Hamiltonian by <Barton Zwiebach> (2019)}
{description=Uses <perturbation theory> to get to the relativistic corrections of <fine structure>! Part of <MIT 8.06 Quantum Physics III, Spring 2018 by Barton Zwiebach>}

\Video[https://www.youtube.com/watch?v=jWYtP-rAoYA]
{title=How To Solve The Dirac Equation For The Hydrogen Atom | Relativistic Quantum Mechanics by <Dietterich Labs> (2018)}


Dirac equation solution for the hydrogen atom

{c}
{tag=Barton Zwiebach}

https://www.youtube.com/playlist?list=PLUl4u3cNGP60Zcz8LnCDFI8RPqRhJbb4L

100 10-20 minute videos properly split by topic, good resource!

Instructor: <Barton Zwiebach>.

Free material from university courses:
* https://physics.weber.edu/schroeder/quantum/QuantumBook.pdf  (https://web.archive.org/web/20191230193450/https://physics.weber.edu/schroeder/quantum/QuantumBook.pdf[archive]) "Notes on Quantum Mechanics" pusbliehd by Daniel V. Schroeder (2019) The author is from from Weber State University.


Ciro Santilli @cirosantilli 35

 Incoming links: Barton Zwiebach