The BornOppenheimer Separation H E Harry Kroto 2004
The Born-Oppenheimer Separation H = E Harry Kroto 2004
The Born-Oppenheimer Separation H = E H = Hel + Hvib + Hrot+ … Harry Kroto 2004
The Born-Oppenheimer Separation H = E H = Hel + Hvib + Hrot+ … = el vib rot … = i i Harry Kroto 2004
The Born-Oppenheimer Separation H = E H = Hel + Hvib + Hrot+ … = el vib rot … E = Eel + Evib + Erot +… = i i E= i Ei Harry Kroto 2004
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
Time independent H o o = Eo o Harry Kroto 2004
Time independent H o o = Eo o Stationary States m o m Harry Kroto 2004
Time independent H o o = Eo o Stationary States m o m m o Harry Kroto 2004
D Selection Rules Need to solve the Time Dependent Problem Harry Kroto 2004
Time independent H o o = Eo o Time dependent [Ho + V(t)] = iħ / t Stationary States m o m m o Harry Kroto 2004
Time independent H o o = Eo o Stationary States Time dependent [Ho + V(t)] = iħ / t V(t) = -Ee(t) e m o m m o Harry Kroto 2004
Time independent H o o = Eo o Time dependent [Ho + V(t)] = iħ / t Stationary States V(t) = -Ee(t) e m m Ee (t) = Eeocos 2 t o m o Harry Kroto 2004
Time dependent Time independent H o o = Eo o [Ho + V(t)] = iħ / t Stationary States V(t) = -Ee(t) e m m Ee (t) = Eeocos 2 t o Ee ( t ) Radiation field m o Harry Kroto 2004
Time dependent Time independent H o o = Eo o [Ho + V(t)] = iħ / t Stationary States V(t) = -Ee(t) e m m Ee (t) = Eeocos 2 t o Ee ( t ) e Radiation field Electric dipole moment m o Harry Kroto 2004
Time dependent Time independent H o o = Eo o [Ho + V(t)] = iħ / t Stationary States V(t) = -Ee(t) e m m Ee (t) = Eeocos 2 t o Ee ( t ) e m Radiation field Electric dipole moment = m a m ( t ) m o Harry Kroto 2004
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