Low Rank Approximation in Electron Excitation Calculations - IPAM at UCLA

Low Rank Approximation in Electron Excitation Calculations - IPAM at UCLA

Institute for Pure & Applied Mathematics (IPAM) via YouTube Direct link

Integral computation: the matrix view

6 of 17

6 of 17

Integral computation: the matrix view

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Low Rank Approximation in Electron Excitation Calculations - IPAM at UCLA

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  1. 1 LOW RANK APPROXIMATION IN ELECTRON EXCITATION CALCULATIONS
  2. 2 Outline
  3. 3 Quantum many-body problem and electron excitation
  4. 4 Lehmann representation
  5. 5 BSE Hamiltonian
  6. 6 Integral computation: the matrix view
  7. 7 Interpolative Separable Density Fitting
  8. 8 Computing ISDF
  9. 9 Take advantage of separability
  10. 10 Choosing interpolation points
  11. 11 Extended (periodic) systems
  12. 12 ISDF for periodic systems
  13. 13 Examples (non-periodic systems)
  14. 14 The ranks of pair product basis (CO)
  15. 15 Accuracy vs rank truncation (Six)
  16. 16 Optical absorption spectrum
  17. 17 ISDF Efficiency

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