V = {0, (0 < x s a, 0sysa){00, other values of x and y%3DAnswer for the particle with mass m under the effectof the potential defined as:a) Find the energy eigenvalues and eigenfunctions ofthe particle using the Schrödinger Wave Equation. MostDetermine the energies of the first three low-energystates.Discuss whetherthesesituationsaredegenerate.b) Too small to systemH' = 8xy%3DBy applying Perturbation Theory inperturbation (where 8 is a small number) and2nd order energy for the ground state considering onlythe first three states with the lowest energycaseofcalculate the correction term.

Step 1: Given: Particle in a two-dimensional box under potential V where V = 0 where 0<x<a…

Answered: V = {0, (0 ≤x≤ a, 0≤ y ≤ a) {∞, other…

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