In: Chemistry
For a particle of mass m in a two-dimensional potential
well(i.e. particle confined in a 2D box) with sides L1 and
L2:
a) Set up the Schrödinger equation for this system.
b) Using separation of variables, derive an expression for
thewavefunction
Ψ and for the energy levels of the system. Be sure toshow all of
your work for this derivation.
c) For the case of square potential well with side L
(i.e.L1=L2=L), sketch an energy level diagram
forthe nine lowest energy levels, showing degeneracy
whereappropriate.