Looking at the Shrodinger equation for the particle in the 1D box and for the electron on a hydrogen atom

a. what is zero-point energy?

b. Why is it nearly impossible to accurately measure the potential energy for the electron on a hydrogen atom?

c. If our particle (consider the mass of an electron) absorbed a photon of wavelength 471.85 nm, and a principal quantum number of n = 3, what is the length of the 1D box?