A thin sample of area carries electrons in a uniform field perpendicular to the sample
PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Quantum Mechanics · The formalism of quantum mechanics
The Structure of Quantum Mechanics, Ch Charged particles in electromagnetic fields
Problem
A thin sample of area A=4.0mm2 carries electrons in a uniform field B=3.0T perpendicular to the sample. Each Landau level holds n=eB/h states per unit area, one for every flux quantum, of size ∣Φ0∣=h/e, threading the sample.
((a)) Evaluate n in m−2.
((b)) Evaluate the number of degenerate states N=nA in one Landau level for this sample.