For the wave functions n (x) = 2/L sin(nx/L) corresponding to a particle in an infinite

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For the wave functions ψn(x) = √2/L sin(nπx/L) corresponding to a particle in an infinite square well potential from 0 to L, show that∫ ψn(x) ψm(x)dx = 0, that is, ψn and ψm are orthogonal.

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