Dirac Landau Levels Using Cylindrical Coordinates | Relativistic Quantum Mechanics

Dietterich Labs
Dietterich Labs
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Published 2023-01-07
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:
   • Relativistic Landau Levels + Dirac Eq...  

The ladder operator video:
   • Relativistic Landau Levels From The D...  

My Quantum Mechanics Lecture Series:
   • Quantum Mechanics Lecture Series  
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