Question

An electron trapped by a defect in a thin wire is described by the bound state solution to the one-dimensional Schr¨odinger equation with a delta-function potential, V (x) = −ξ δ(x), where ξ is a positive constant. The uncertainty ∆x in the electron’s displacement from the defect is 3.0 nm and the electron’s effective mass is 0.015 me. Estimate the constant ξ. Neglect the spin of the electron. Hint: δ(x) has dimensions of [length]−1 .

Answer 1