Question: The wavefunction for a particle in a 2d box from 0 to Lx and 0 to Ly is (x,y)=2/Lxsin(nxx/Lx)2/Lysin(nyy/Ly) a. show that it is a

The wavefunction for a particle in a 2d box from 0 to Lx and 0 to Ly is (x,y)=2/Lxsin(nxx/Lx)2/Lysin(nyy/Ly) a. show that it is a eigenfunction of the hamiltonian operator H^=2/2m(2/x2+2/y2). b. What is the eigenvalue? c. Where is the probability for finding the particle the highest for the ground state? d. Draw the energy level diagram for the first 5 levels

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