Dirac equation | 🗖 nosplit | ↑ parent "Relativistic quantum mechanics" | 304, 26, 2k
Adds special relativity to the Schrodinger equation, and the following conclusions come basically as a direct consequence of this!
Experiments explained:
- spontaneous emission coefficients.
- fine structure, notably for example Dirac equation solution for the hydrogen atom
- antimatter
- particle creation and annihilation
Experiments not explained: those that quantum electrodynamics explains like:See also: Dirac equation vs quantum electrodynamics.
- Lamb shift
- TODO: quantization of the electromagnetic field as photons?
The Dirac equation is a set of 4 partial differential equations on 4 complex valued wave functions. The full explicit form in Planck units is shown e.g. in Video 57. ""Quantum Mechanics 12a - Dirac Equation I" by ViaScience (2015-12-19)" at https://youtu.be/OCuaBmAzqek?t=1010:
Then as done at https://physics.stackexchange.com/questions/32422/qm-without-complex-numbers/557600#557600 from why are complex numbers used in the Schrodinger equation?, we could further split those equations up into a system of 8 equations on 8 real-valued functions.
Equation 25. Expanded Dirac equation in Planck units.
- Antimatter
- Derivation of the Klein-Gordon
- Derivation of the quantum electrodynamics Lagrangian
- Dirac equation
- Dirac equation solution for the hydrogen atom
- Dirac equation vs quantum electrodynamics
- Fine structure
- Hyperfine structure
- Klein-Gordon equation
- Lamb shift
- Mathematical formulation of quantum field theory
- Mathematical formulation of quantum mechanics
- Particle creation and annihilation
- Particle physics
- Paul Dirac
- Quantum electrodynamics
- Quantum electrodynamics experiments
- Quantum mechanics
- Quantum physics by Jim Branson (2003)
- Relativistic quantum mechanics
- Schrodinger equation
- Solutions of the Schrodinger equation for two electrons
- Spectral lines of atoms and molecules
- Spin
- Spontaneous emission
- Why is the spin of the electron half?