Abstract
Configuration-space matrix elements of -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 -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.
- Received 19 January 2013
DOI:https://doi.org/10.1103/PhysRevLett.111.132505
© 2013 American Physical Society