Landau levels: Difference between revisions

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=== In the Landau gauge ===
Many papers written on the quantum mechanics of free charges in magnetic fields use a [[Gauge fixing|gauge]] introduced by [[Lev Landau]].<ref>{{cite web |url=https://courses.physics.illinois.edu/phys581/sp2013/charge_mag.pdf |title=Charge in Magnetic Field |access-date=11 March 2023 |webwebsite=courses.physics.illinois.edu}}</ref>
 
When <math>\mathbf{B} = \begin{pmatrix} 0 \\ 0 \\ B \end{pmatrix}</math> then <math>\mathbf{A} = \begin{pmatrix} 0 \\ B\cdot x \\ 0 \end{pmatrix}</math> is a possible solution<ref>An equally correct solution in the Landau gauge would be: <math>\mathbf{A} = \begin{pmatrix} -B \cdot y \\ 0 \\ 0 \end{pmatrix}</math>.</ref> in the Landau gauge.