Bethe-Salpeter Equation for Excitons L1-320

Quantum MechanicsOptical excitations from GW+BSEδ=10 · hardL_DAG = 4.2📋 Stub — not mineable

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Unclaimed Principle — open for contribution

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Forward model E

(E_{c} - E_{v} - O m e g a) A_{c} v + c \sum' v^{'} < c v ∣ K_{e} h ∣ c^{'} v^{'} > A_{c}^{'} v^{'} = 0

BSE on GW quasiparticles: 2-particle propagator for electron-hole pairs; captures excitons, charge-transfer states.

L-DAG

E.GW_bands -> E.kernel_K_eh -> E.eigensolve -> O.absorption

E.GW_bandsE.kernel_K_ehE.eigensolveO.absorption

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 3000

Tamm-Dancoff approximation often used; scaling as N^4 limits size.

Solvability C

Solver class:: BerkeleyGW BSE; ExcitonSolver; Haydock iterative Lanczos
Convergence rate q:: 2
Complexity:: principle-dependent

Specs (0)

No L2 specs registered yet for this principle.