The lowest Landau level is the ground state (1/2)hf of a harmonic oscillator where f = eB/(2 pi m) is the Larmor frequency, the frequency of the electron's circular motion in the magnetic field B.  This is in addition to the rest energy mc^2.  Can you substantiate up your different assertion?  --  Gene From: Warren D Smith <warren.wds@gmail.com> To: math-fun@mailman.xmission.com Sent: Friday, June 5, 2015 9:43 AM Subject: [math-fun] Landau levels to ES: The lowest landau level has energy m*c^2 independent of field, and there is therefore no force repelling electrons from high magnetic field in your reasoning. Further, the landau states are totally delocalized, which kind of "repels" reasoning based on speaking about localized regions...