How to derive and compute 1,648 diagrams

Simple item page
dc.creatorCannon, Caleb C.
dc.creatorDerevianko, Andrei
dc.date2003-06-12
dc.date.accessioned2026-07-07T05:49:26Z
dc.date.available2026-07-07T05:49:26Z
dc.descriptionWe present the first calculation for many-electron atoms complete through fourth order of many-body perturbation theory. Owing to an overwhelmingly large number of underlying diagrams, we developed a suite of symbolic algebra tools to automate derivation and coding. We augment all-order single-double excitation method with 1,648 omitted fourth-order diagrams and compute amplitudes of principal transitions in Na. The resulting ab initio relativistic electric-dipole amplitudes are in an excellent agreement with 0.05%-accurate experimental values. Analysis of previously unmanageable classes of diagrams provides a useful guide to a design of even more accurate, yet practical many-body methods.
dc.description5 pages, 2 figures, submitted
dc.identifierhttps://arxiv.org/abs/physics/0306099
dc.identifierhttp://arxiv.org/abs/physics/0306099
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/85387
dc.subjectAtomic Physics
dc.subjectComputational Physics
dc.titleHow to derive and compute 1,648 diagrams
dc.typetext

Files

Collections

arXiv