title: Exact tensor hypercontraction: a universal technique for the resolution of matrix elements of local finite-range N-body potentials in many-body quantum problems.
abstract: Configuration-space matrix elements of N-body potentials arise naturally and ubiquitously in the Ritz-Galerkin solution of many-body quantum problems. For the common specialization of local, finite-range potentials, we develop the exact tensor hypercontraction method, which provides a quantized renormalization of the coordinate-space form of the N-body potential, allowing for a highly separable tensor factorization of the configuration-space matrix elements. This representation allows for substantial computational savings in chemical, atomic, and nuclear physics simulations, particularly with respect to difficult "exchangelike" contractions.
authors.affiliation: Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, and School of Computational Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, USA.
authors.forename: Robert M
authors.initials: RM
authors.lastname: Parrish
authors.forename: Edward G
authors.initials: EG
authors.lastname: Hohenstein
authors.forename: Nicolas F
authors.initials: NF
authors.lastname: Schunck
authors.forename: C David
authors.initials: CD
authors.lastname: Sherrill
authors.forename: Todd J
authors.initials: TJ
authors.lastname: Martínez