In this lecture we close the many-electron atoms part. First we commented on the variational method
(relating to previous lectures)
Main parts:
-- Sum of orbital energies IS NOT EQUAL to the total energy expectation
-- Beyond the independent electrons; Spectroscopic Terms; Configurations
-- Configuration mixing
-- DFT approach Density Functional Theory (selfconsistent)
Preview Next topic - The quantum Mechanics with TIME DEVELOPEMENT
First we discuss why we do the variation only on the < Phi | side - and not on both sides
This was forgotten in the last lecture ../2015_10_14/index.html#revisit_variational
below: Sum of orbital energies IS NOT EQUAL to the total energy expectation
1000_note_on_variation_Only_bra_vector.png
Sum of orbital energies IS NOT EQUAL to the total energy expectation
1010_sum_orbital_energies_vs_total_energy.png
Hartree - Fock Independent electrons ( only the antisymmetry / symmetry )
Beyond Independent electrons
Configuration mixing L - S scheme j - j scheme
Atomic spectroscopy notation - some parts at en.wikipedia.org/wiki/Spectroscopic_notation
1020_Terms_configurations.png
Configurations -- Electron arrangements Spin - Orbit Coupling (splitting of degenerate states )
Configuration mixing
Term energies
1030_terms_Atomic_physics_applications_Data.png
DFT approach Density Functional Theory (selfconsistent) en.wikipedia.org/wiki/Density_functional_theory
1040_Density_Functional_Theory_DFT.png
NEXT TOPIC
Quantum Mechanics of time change - transitions - Light - Matter Interactions
PREVIEW
A030.png |
 This animation shows time developement of PROBABILITY DENSITY ( The anatomy of this animation is displayed in lecture notes two years ago (2013) here (2013). See also the theory of the two state system in the continuation of the discussion in the lectures two years ago (2013) ( all these links point to 2013 ) |