Find the energie level and the wave function of the ground, Physics

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Find the energie level and the wave function of the ground

1) Find the energie level and the wave function of the ground state and the first excited state for system of two noninter acting fermions with spin 1/2 moving in a one dimentional infinite squarewell

2) Consider a free electron gas model for noninteracting electron in a two-dimentional infinite square well. Calculate the Fermi energy E_f of the system.Let σ be the numberof free electrons per unit area(i.e, σ=Nq/A, where Ais thearea of the square well and Nq the total number of electrons)

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Physics: Find the energie level and the wave function of the ground

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