Derives closed-form matrix elements for explicitly correlated Gaussian basis in periodic systems and validates on infinite 1D hydrogen chain.
Using the identity Al = Akl − Ak and cyclic trace properties: 6Tr(ΛAl) − 6Tr(AlΛAlA−1 kl ) = 6Tr(ΛCkl)
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Explicitly Correlated Gaussian Basis Approach to Periodic Systems
Derives closed-form matrix elements for explicitly correlated Gaussian basis in periodic systems and validates on infinite 1D hydrogen chain.