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Q. A particle is contained in a two- dimensional square box with infinitely hard walls. The potential energy U(x,y) is as follows. OsxsL and OsysL U(x, y) = 0 x<0,x>L or y<0,y>L_U(x, y) = ∞ a) Solve the shrodinger equation to find the normalized wavefunction b) Find the probability that the particle will be found in the region 0

Q. A particle is contained in a two- dimensional square box with infinitely hard walls. The potential energy U(x,y) is as follows. OsxsL and OsysL U(x, y) = 0 x<0,x>L or y<0,y>L_U(x, y) = ∞ a) Solve the shrodinger equation to find the normalized wavefunction b) Find the probability that the particle will be found in the region 0

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Q. A particle is contained in a two- dimensional square box with infinitely hard walls. The potential energy U(x,y) is as follows. OsxsL and OsysL U(x, y) = 0 x<0,x>L or y<0,y>L_U(x, y) = %3D a) Solve the shrodinger equation to find the normalized wavefunction b) Find the probability that the particle will be found in the region 0 <x< L/2, 0 < y < L/2 c) Find the energy that a particle in the box can have.
Transcribed Image Text:Q. A particle is contained in a two- dimensional square box with infinitely hard walls. The potential energy U(x,y) is as follows. OsxsL and OsysL U(x, y) = 0 x<0,x>L or y<0,y>L_U(x, y) = %3D a) Solve the shrodinger equation to find the normalized wavefunction b) Find the probability that the particle will be found in the region 0 <x< L/2, 0 < y < L/2 c) Find the energy that a particle in the box can have.
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