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

@inproceedings{Schoyen2021EvaluationOG, 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}, year={2021} }

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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