For the particle in a box, we chose k np L with n 1, 2, 3, c to fit the boundary condition that 0 at x L However, n 0, 1, 2, 3, c also satisfy that boundary condition Why didnt we also choose those values of n

Question: For the particle in a box, we chose k = np/L with n = 1, 2, 3, c to fit the boundary condition that

For the particle in a box, we chose k = np/L with n = 1, 2, 3, c to fit the boundary condition that ψ = 0 at x = L. However, n = 0, -1, -2, -3, c also satisfy that boundary condition. Why didn’t we also choose those values of n?

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