Unformatted text preview: 561, for a total of 595. 5.8 Matrix Formulation 5.8.1 Solution matfora Question: As a relatively simple example, work out the above ideas for the Q = 2 hydrogen molecule spatial states ψ S 1 = ψ l ψ r and ψ S 2 = ψ l ψ r . Write the matrix eigenvalue problem and identify the two eigenvalues and eigenvectors. Compare with the results of section 5.3. Assume that ψ l and ψ r have been slightly adjusted to be orthonormal. Then so are ψ S 1 and ψ S 2 orthonormal, since the various sixdimensional inner product integrals, like a ψ S 1  ψ S 2 A ≡ a ψ l ψ r  ψ r ψ l A ≡...
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 Fall '11
 Dr.DanielArenas
 Linear Algebra, mechanics, Determinant, Fundamental physics concepts, Orthogonal matrix, QR algorithm

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