. Show that Hermitian operator have real eigen values and the eigenvectors are
orthonormal.
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To prove that a quantum mechanical operator ˆA is Hermitian, consider the eigenvalue equation and its complex conjugate. Since both integrals equal a, they must be equivalent. This equality means that ˆA is Hermitian. ... This result proves that nondegenerate eigenfunctions of the same operator are orthogona
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