The treatment of a particle in a one-dimensional box can be extended to a two-dimensional box of dimensions and yielding the following expression for energy: the two quantum numbers independently can assume only integer values. consider an electron confined to a two-dimensional box that is 5.00 nm in the x direction and 6.34 nm in the y direction. a. what are the quantum numbers for the rst three allowed energy levels? b. calculate the wavelength of light necessary to promote an electron from the rst excited state to the second excited state.