An particle is confined in a one-dimensional "infinite potential well" of width 2a. < -a v (x) 0 -axa (a) derive an expression for the energy eigenvalues ek of this system. (b) if the above particle is an electron, and the width of the box is 2a 5.29 x 10-11m, what is wavelength of the photon emitted if the electron transitions from its first excited state to its ground state? problem-2 at what locations a inside the box would vou expect to never observe an electron in its first excited state?