An electron is confined to a a square well of length L. What would be the length of the box such that the zero-point energy of the electron is equal to its rest mass energy, mₑ c² ? Express your answer in terms of the parameter λ_C=h / mₑ c, the 'Compton wavelength' of the electron for a general particle of mass m in a cubic box.
a) λ_C/√[3]2
b) λ_C/√[3]4
c) λ_C/√[3]8
d) λ_C/√[3]16p