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The Born-Oppenheimer Separation
Harry Kroto 2004
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The Born-Oppenheimer Separation
H = Hel + Hvib + Hrot+ … Harry Kroto 2004
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The Born-Oppenheimer Separation
H = Hel + Hvib + Hrot+ … = el vib rot … = i i Harry Kroto 2004
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The Born-Oppenheimer Separation
H = Hel + Hvib + Hrot+ … = el vib rot … = i i E = Eel + Evib + Erot +… E= i Ei Harry Kroto 2004
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The Born-Oppenheimer Separation H = E H = Hel + Hvib + Hrot+ …
= el vib rot … = i i E = Eel + Evib + Erot +… E= i Ei We shall often use Dirac notation m m and m* n Harry Kroto 2004
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Time independent Hoo = Eoo Harry Kroto 2004
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Time independent Hoo = Eoo Stationary States mo m
Harry Kroto 2004
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Time independent Hoo = Eoo Stationary States mo m m o
Harry Kroto 2004
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Need to solve the Time Dependent Problem
D Selection Rules Need to solve the Time Dependent Problem Harry Kroto 2004
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Time dependent Time independent [Ho + V(t)] = iħ/t Hoo = Eoo
Stationary States mo m m o Harry Kroto 2004 Harry Kroto 2004
![Time dependent Time independent [Ho + V(t)] = iħ/t Hoo = Eoo](http://slideplayer.com./slide/16731655/97/images/10/Time+dependent+Time+independent+%5BHo+%2B+V%28t%29%5D%EF%81%99+%3D+i%C4%A7%EF%82%B6%EF%81%99%2F%EF%82%B6t+Ho%EF%81%99o+%3D+Eo%EF%81%99o.jpg "Stationary States. mo m m o Harry Kroto Harry Kroto")
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Time dependent Time independent [Ho + V(t)] = iħ/t Hoo = Eoo
V(t) = -Ee(t) e Time independent Hoo = Eoo Stationary States mo m m o Harry Kroto 2004 Harry Kroto 2004
![Time dependent Time independent [Ho + V(t)] = iħ/t Hoo = Eoo](http://slideplayer.com./slide/16731655/97/images/11/Time+dependent+Time+independent+%5BHo+%2B+V%28t%29%5D%EF%81%99+%3D+i%C4%A7%EF%82%B6%EF%81%99%2F%EF%82%B6t+Ho%EF%81%99o+%3D+Eo%EF%81%99o.jpg "V(t) = -Ee(t) e. Time independent. Hoo = Eoo. Stationary States. mo m m o Harry Kroto Harry Kroto")
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Time dependent Time independent [Ho + V(t)] = iħ/t Hoo = Eoo
V(t) = -Ee(t) e Ee (t) = Eeocos 2t Time independent Hoo = Eoo Stationary States mo m m o Harry Kroto 2004 Harry Kroto 2004
![Time dependent Time independent [Ho + V(t)] = iħ/t Hoo = Eoo](http://slideplayer.com./slide/16731655/97/images/12/Time+dependent+Time+independent+%5BHo+%2B+V%28t%29%5D%EF%81%99+%3D+i%C4%A7%EF%82%B6%EF%81%99%2F%EF%82%B6t+Ho%EF%81%99o+%3D+Eo%EF%81%99o.jpg "V(t) = -Ee(t) e. Ee (t) = Eeocos 2t. Time independent. Hoo = Eoo. Stationary States. mo m m o Harry Kroto Harry Kroto")
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Time dependent Time independent [Ho + V(t)] = iħ/t Hoo = Eoo
V(t) = -Ee(t) e Ee (t) = Eeocos 2t Ee(t) Radiation field Time independent Hoo = Eoo Stationary States mo m m o Harry Kroto 2004 Harry Kroto 2004
![Time dependent Time independent [Ho + V(t)] = iħ/t Hoo = Eoo](http://slideplayer.com./slide/16731655/97/images/13/Time+dependent+Time+independent+%5BHo+%2B+V%28t%29%5D%EF%81%99+%3D+i%C4%A7%EF%82%B6%EF%81%99%2F%EF%82%B6t+Ho%EF%81%99o+%3D+Eo%EF%81%99o.jpg "V(t) = -Ee(t) e. Ee (t) = Eeocos 2t. Ee(t) Radiation field. Time independent. Hoo = Eoo. Stationary States. mo m m o Harry Kroto Harry Kroto")
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e Electric dipole moment Time independent Hoo = Eoo
Time dependent [Ho + V(t)] = iħ/t V(t) = -Ee(t) e Ee (t) = Eeocos 2t Ee(t) Radiation field e Electric dipole moment Time independent Hoo = Eoo Stationary States mo m m o Harry Kroto 2004 Harry Kroto 2004
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e Electric dipole moment = mam(t) m Time independent Hoo = Eoo
Time dependent [Ho + V(t)] = iħ/t V(t) = -Ee(t) e Ee (t) = Eeocos 2t Ee(t) Radiation field e Electric dipole moment = mam(t) m Time independent Hoo = Eoo Stationary States mo m m o Harry Kroto 2004 Harry Kroto 2004
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