Uploaded January 2023 | Updated September 2026, 2 days ago

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In this video, I show you one last technique for solving the Dirac equation for relativistic Landau Levels, and that is the use of the power series method in cylindrical coordinates.

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. In this video, I only remembered to mention this at the very end.

That Cartesian video:
youtu.be/M9w2Plj7brw

The ladder operator video:
youtu.be/aDAw3glRHDw

My Quantum Mechanics Lecture Series:
youtube.com/playlist?list=PLSpklniGdSfSsAFCzO-YWGlJ4TNv8sMdy