Relativistic Landau Levels + Dirac Equation: Power Series Method | Relativistic Quantum Mechanics @DietterichLabs
Relativistic Landau Levels + Dirac Equation: Power Series Method | Relativistic Quantum Mechanics  @DietterichLabs
Uploaded January 2023 | Updated September 2026, 3 hours ago
In this video, I show how to use the power series method to solve the Dirac equation for relativistic Landau levels (solving the Dirac equation in a constant magnetic field).

Clarification: By uncoupled, I don't just mean that there is no term in which k_z and m multiply each other. I am also referring to the fact that they multiply different alpha matrices. The relations satisfied by the alpha matrices ensure that cross terms don't show up.

That previous video I was talking about:
youtu.be/aDAw3glRHDw

The Schrodinger video I was talking about:
youtu.be/nPMde3zBgNo

My Quantum Mechanics Lecture Series:
youtube.com/playlist?list=PLSpklniGdSfSsAFCzO-YWGlJ4TNv8sMdy
Relativistic Landau Levels + Dirac Equation: Power Series Method | Relativistic Quantum MechanicsSpontaneous Symmetry Breaking And The Higgs Mechanism | Quantum Field TheoryHow To Solve The Schrodinger Equation For The Hydrogen Atom | Quantum MechanicsTime Dependent Perturbation Theory Part 2 Of 2: The Dyson Series | Quantum MechanicsHanging A Mass From A Centrifugal Force | Classical MechanicsA Sick Trick For The Quadratic Gaussian Product Integral (parametric differentiation)An Introduction To Scalar QEDThe GR Correction To Newtons Law Of Gravitation | Schwarzschild Metric | General RelativityLiquid And Solid Helium Experiment Preparations | Condensed Matter PhysicsForeign Mushrooms Invaded My PotSolving The Schrodinger Equation On A Mobius Strip | Quantum Mechanics | Endgame | Tony StarkHelium-3 + Helium-4 Coalescing Out Of Vacuum Pump Oil | Dilution Refrigerator
Dietterich Labs |

Relativistic Landau Levels + Dirac Equation: Power Series Method | Relativistic Quantum Mechanics

SHARE TO X SHARE TO REDDIT SHARE TO FACEBOOK WALLPAPER