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Exciton physics: basic to advanced
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Module 3
Many-Body Formulation of Excitons
1
Electron-Hole Pair Hamiltonian Formulation
Formulate the electron-hole pair Hamiltonian using second quantization creation and annihilation operators.
2
Understanding the Bethe-Salpeter Equation
Describe the structure and physical meaning of the Bethe-Salpeter equation (BSE) for the two-particle Green's function.
3
From Bethe-Salpeter to Wannier: The Excitonic Link
Show how the BSE reduces to the Wannier equation for excitons under the effective mass approximation.
4
Exciton Exchange Interaction and Energy Levels
Analyze the effect of the electron-hole exchange interaction on exciton energies at a formal level.
5
Density-Driven Mott Transition and Exciton Dissociation
Describe the density-driven Mott transition where excitons dissociate into an electron-hole plasma.
Previous module
The Wannier-Mott Exciton Model
Next module
Optical Properties and Selection Rules