Caculating SAB overlap of two Kohn-Sham determinants

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SUMMARY

The discussion focuses on calculating the SAB overlap of two Kohn-Sham determinants, specifically the overlap integral defined as SAB=. The matrices psiA and psiB represent the molecular orbital coefficients. The participants emphasize that for cases of SAA and SBB, the expected value is 1, indicating perfect overlap for identical matrices, which corresponds to the probability of locating an electron in a given space. The need for assistance in performing this calculation is highlighted.

PREREQUISITES
  • Understanding of Kohn-Sham density functional theory
  • Familiarity with molecular orbital theory
  • Knowledge of linear algebra, particularly matrix operations
  • Experience with computational chemistry software
NEXT STEPS
  • Research the implementation of overlap integrals in quantum chemistry software
  • Explore the mathematical foundations of Kohn-Sham determinants
  • Learn about the significance of molecular orbital coefficients in electronic structure calculations
  • Investigate methods for verifying overlap calculations in computational models
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This discussion is beneficial for computational chemists, quantum physicists, and researchers involved in electronic structure calculations who require a deeper understanding of Kohn-Sham determinants and their applications in molecular modeling.

limorsj
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Hello,

I would like to implement SAB=<psiA|psiB>which is the overlap of two Kohn-Sham determinants (psiA and psiB are two matrices containing each the molecular orbitals coefficients). Can anybody help me with this calculation? For case of SAA and SBB it is required to get the value 1 (perfect overlap for the same matrix...which is actually the probability of finding the electron somewhere),

Thank you!
 
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