= Relativistic quantum mechanics
{wiki}
The first really good theory made compatible with was the .
And then came to improve it: .
TODO: does it use full blown QED, or just something intermediate?
https://www.youtube.com/watch?v=NtnsHtYYKf0 "Mercury and Relativity - Periodic Table of Videos" by (2013). Doesn't give the key juicy details/intuition. Also mentioned on Wikipedia: https://en.wikipedia.org/wiki/Relativistic_quantum_chemistry#Mercury
= The Schrödinger equation is not relativistic
{parent=Relativistic quantum mechanics}
{tag=Schrödinger equation}
{wiki}
\Video[https://www.youtube.com/watch?v=8Iu74b5iCuQ]
{title=Why Relativity Breaks the Schrodinger Equation by Richard Behiel (2023)}
{description=Take a , because we know its momentum perfectly. Apply a constant voltage to an electron. You can easily bring it beyond the speed of light at about 255.5 keV.}
= Dirac equation
{c}
{parent=Relativistic quantum mechanics}
{wiki}
Adds to the , and the following conclusions come basically as a direct consequence of this!
Experiments explained:
* coefficients.
* , notably for example
*
*
Experiments not explained: those that explains like:
*
* TODO: quantization of the electromagnetic field as ?
See also: .
The Dirac equation is a set of 4 on 4 [complex valued] wave functions. The full explicit form in is shown e.g. in