Lowering of the complexity of quantum chemistry methods by choice of representation.

@article{Mardirossian2017LoweringOT,
  title={Lowering of the complexity of quantum chemistry methods by choice of representation.},
  author={Narbe Mardirossian and James D. McClain and Garnet Kin-Lic Chan},
  journal={The Journal of chemical physics},
  year={2017},
  volume={148 4},
  pages={
          044106
        }
}
The complexity of the standard hierarchy of quantum chemistry methods is not invariant to the choice of representation. This work explores how the scaling of common quantum chemistry methods can be reduced using real-space, momentum-space, and time-dependent intermediate representations without introducing approximations. We find the scalings of exact Gaussian basis Hartree-Fock theory, second-order Møller-Plesset perturbation theory, and coupled cluster theory (specifically, linearized coupled… 

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