513.001 Molecular and Solid State Physics

Return to
problem list

Wolfram Alpha

Physical
Constants

Periodic System
of Elements

      

Ibach and Lüth, 7.1

Solve the Schrödinger equation for the potential

and calculate the charge density

where the maximum k value is determined by the Fermi energy EF. Sketch ρ(x) and discuss the result (Friedel oscillations). Consider the cases of a typical metallic electron density of 1022 cm-3 and of a weakly doped semiconductor with a density of 1016 cm-3.