[Refer to Problem 4.59 for background.] Supposewhere B0 and K are constants.(a) Find the f...

[Refer to Problem 4.59 for background.] Suppose

where B0 and K are constants.

(a) Find the fields E and B.

(b) Find the allowed energies, for a particle of mass m and charge q, in these fields. Answer:

 [4.209]

where to and  Comment: If K = 0 this is the quantum analog to cyclotron motion; ω1 is the classical cyclotron frequency, and it's a free particle in the z direction. The allowed energies,  are called Landau Levels.46