For a particle in one dimension in a region of constant potential energy Vo, the angular frequency w and the wave number k of its associated wave function are related by h²k? ħw = + Vo 2m а) - Verify that, if a monochromatic wave of the form ý = ei(kz-wt) is substituted into the Schrödinger time dependent equation, the above relation is reproduced. b) - c) In which region(s) of space are you most likely to find this particle? Why do we demand that the wavefunction be identically zero outside of the "box" in the particle in a box model?

For a particle in one dimension in a region of constant potential energy Vo, the angular frequency w and the wave number k of its associated wave function are related by h²k? ħw = + Vo 2m а) - Verify that, if a monochromatic wave of the form ý = ei(kz-wt) is substituted into the Schrödinger time dependent equation, the above relation is reproduced. b) - c) In which region(s) of space are you most likely to find this particle? Why do we demand that the wavefunction be identically zero outside of the "box" in the particle in a box model?