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(VI) Consider two operators: 0 = a a + + az and 02= 22 92 + 8r2 Dy2 * 822 acting on a wave function

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(VI) Consider two operators: 0 = a a + + az and 02= 22 92 + 8r2 Dy2 * 822 acting on a wave function defined as V(x, y, z) = A cos(k-1) cos(kyy) cos(kz) Is V,y,z) an eigenfunction of either operator? If so, what is the eigenvalue? Provide a detailed answer and show your reasoning mathematically

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