Fund Quantum Mechanics Lect & HW Solutions 81

Fund Quantum Mechanics Lect & HW Solutions 81 -...

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Unformatted text preview: 5.2. THE HYDROGEN MOLECULE z2 63 z2 z1 n1 z2 z1 n1 z2 z1 n1 z1 n1 n2 z n2 z n2 z n2 z n z n z n z n z n z n z n z n z z z z z Figure 5.2: Probability density functions on the z -axis through the nuclei. From left to right: ψl ψr , ψr ψl , the symmetric combination a(ψl ψr + ψr ψl ), and the antisymmetric one a(ψl ψr − ψr ψl ). From top to bottom, the top row of curves show the probability of finding electron 1 near z regardless where electron 2 is. The second row shows the probability of finding electron 2 near z regardless where electron 1 is. The third row shows the total probability of finding either electron near z , the sum of the previous two rows. The fourth row shows the same as the third, but assuming the true three-dimensional world rather than just the line through the nuclei. ...
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