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Unformatted text preview: 2 . Taking the ratio o± the two probabilities, the chances o± ²nding particle 1 at vr a versus ²nding it at vr b are the same wherever particle 2 is likely to be ±ound. 5.2 The Hydrogen Molecule 5.2.1 The Hamiltonian 188.8.131.52 Solution hmola-a Question: Veri±y that the repulsive potential between the electrons is in²nitely large when the electrons are at the same position. Note: You might there±ore think that the wave ±unction needs to be zero at the locations in six-dimensional space where vr 1 = vr 2 . Some authors re±er to that as a “Coulomb hole.” But the truth is that in quantum mechanics, electrons are smeared out due to uncertainty. That causes electron 1 to “see electron 2 at all sides”, and vice-versa, and they do there±ore not encounter any unusually large potential when the wave ±unction is nonzero at vr 1 = vr 2 . In...
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This note was uploaded on 01/06/2012 for the course PHY 3604 taught by Professor Dr.danielarenas during the Fall '11 term at UNF.
- Fall '11