An electron is trapped in a 1-dimensional box that is 576 nm wide. initially, it is in the n = 4 energy level, but after a photon is absorbed the electron is in the n = 5 energy level. what was the wavelength of the absorbed photon?

Aparticle of mass m is placed in a one-dimensional box of length l. the box is so small that the particle’s motion is relativistic, so that e p2/2m is not valid. (a) derive an expression for the energy levels of the particle using the relativistic energy–momentum relation and the quantization of momentum that derives from connement. (b) if the particle is an electron in a box of length l 1.00 1012 m, nd its lowest possible kinetic energy. by what percent is the nonrelativistic formula for the energy in error?