• Corpus ID: 244709816

Evaluation of Gaussian integrals for the modeling of two-dimensional quantum systems

  title={Evaluation of Gaussian integrals for the modeling of two-dimensional quantum systems},
  author={Oyvind Sigmundson Schoyen and H-P E Kristiansen and Alfred Alocias Mariadason},
We have developed a McMurchie-Davidson-like recursion formula for efficient evaluation of the Coulomb attraction and interaction matrix elements between two-dimensional primitive Cartesian Gaussian type orbitals. We also present recurrence schemes for combined position and differential operator integrals, and three-center Gaussian integrals. The Cartesian Gaussian orbitals are isotropic in the exponent, but with arbitrary centers and angular momentum. 



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