12_variation_perturbation_matrixhq

Our first wavefunction has a quntum number of one not

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Unformatted text preview: he quantum number 2 H i j 2 hbar ( j 1) 2 m a Hamiltonian Matrix 2 a 2 ( i j) 2 ( i 1) x x sin ( j 1) x dx sin a a a 0 0.049 0.000 0.000 H 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.197 0.000 0.000 0.000 0.000 0.000 0.444 0.000 0.000 0.000 0.000 0.000 0.790 0.000 0.000 0.000 0.000 0.000 1.234 0.000 0.000 0.000 0.000 0.000 1.777 diagonal matrix with eigenvalues on diagonal 12 10/7/2013 Particlein-a-Box 2 H i j 2 hbar ( j 1) 2 m a a 2 ( i j) 2 2 ( i 1) x x sin ( j 1) x dx sin a a a 0 0.049 0.000 0.000 H 0.000 0.000 0.000 Hamiltonian Matrix 0 0.197 0.000 0.000 0.000 0.000 0.000 0.444 0.000 0.000 0.000 0.000 0.000 0.790 0.000 0.000 0.000 0.000 0.000 0.000 1.777 0.000 0.000 0.000 1.234 0.000 0.049 0.197 0.444 E 0.790 1.234 1.777 Find Eigenvalues E sort ( E) E eigenvals ( H) a 0.000 0.000 0.000 0.000 0.000 they don't come sorted by energy check 2 2 2 Ecal 2 hbar ( i 1) i 2 m a 2 2 Ecal i 0.049 0.197 0.444 0.790 1.234 1.777 Particlein-a-Box Find Eigenfunctions v 0 c0 eigenvec H E c1 eigenvec...
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This document was uploaded on 01/19/2014.

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