12_variation_perturbation_matrixhq

033 7143 10 3 h 1587 10 3 4 3608 10 5 8325 10

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Unformatted text preview: 2 e v 2i .2 e v 1 0.3 e v 1 3i .2 e v 2 0.2 e v 2 . . 0.4 ev 2i .2 e v 1 0.3 e v 1 3i .2 e v 2 0.2 e v 2 0.1 0 . 0.1 10 5 0 5 10 15 0 20 10 5 0 ri 5 10 15 20 ri Position (Bohr) Position (Bohr) β Electric field strength Particle-in-a-Box Wavefunction ( x) 2 nx sin 0 x L n 1,2,... L L Energy h2n2 1 n En 2m L 8mL2 2 n 1,2,... first-order correction to energy ∗ ∗ ∗ 2 Expectation value of position for Particle-ina-Box Ground State Energy of Particle-in-a-Ramped-Box 2 2 2 23 10/7/2013 Check with DVR Particle-in-a-Ramped-Box Particle-in-a-Box (Effect of a DC Electric Field) 0.5 Vi i .2 e v 0.4 Energy (Hartree) Energy (Hartree) . ev 0.5 Vi i .2 e v 2i .2 e v 1 0.3 e v 1 3i .2 e v 2 0.2 e v 2 . . 0.4 ev 2i .2 e v 1 0.3 e v 1 3i .2 e v 2 0.2 e v 2 0.1 0 . 0.1 10 5 0 5 10 15 0 20 10 5 0 ri 2 2 2 2mL 15 20 Position (Bohr) 0.02 m 1 L 10 n 1 10 ri Position (Bohr) ground level 5 ground level 2 2 0.0493 2 2mL DVR program gets 0.0487 H L 2 0.0493 0.1000 0.1493 DVR program gets 0.1399 H What about the Wave...
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This document was uploaded on 01/19/2014.

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