Consider the ellipsoidal energy surface 

A surface on which E(k(vector) is constant is a spheroid. Show that for a static magnetic field B in the x-direction, the cyclotron frequency is given by ω_c = eB/√m_xm_y (in SI units). What would be the cyclotron frequency, if the magnetic field were applied in the z-direction?

Transcribed Image Text:

E(K) = h? 2mz 2my 2m2 E(K) = h? 2mz 2my 2m2