2. Consider a particle in a 2-dimensional infinite square well given by: V(x) = {0 for 0≤x≤a and 0 ≤ y ≤a otherwise (a) What are the energy eigenvalue and the eigenket (eigenfunction) for the non- degenerate level? (d) The particle is now subjected to the perturbation given by: V(x) = {Cxy Where C is a constant. (i) (ii) Cxy for 0≤x≤a and 0 ≤ y ≤a otherwise Determine the first-order energy correction (shift) Find the wavefunction of the first excited level

2. Consider a particle in a 2-dimensional infinite square well given by: V(x) = {0 for 0≤x≤a and 0 ≤ y ≤a otherwise (a) What are the energy eigenvalue and the eigenket (eigenfunction) for the non- degenerate level? (d) The particle is now subjected to the perturbation given by: V(x) = {Cxy Where C is a constant. (i) (ii) Cxy for 0≤x≤a and 0 ≤ y ≤a otherwise Determine the first-order energy correction (shift) Find the wavefunction of the first excited level