The Library
Rate of convergence of the configuration interaction model for the helium ground state
Tools
Tools
Tools
Goddard, Benjamin D. (2009) Rate of convergence of the configuration interaction model for the helium ground state. SIAM Journal on Mathematical Analysis, Vol.41 (No.1). pp. 77-116. doi:10.1137/080727956
Research output not available from this repository, contact author.
Official URL: http://dx.doi.org/10.1137/080727956
Abstract
The rate of convergence of a CI calculation on the ground state of the helium atom is rigorously derived under suitable assumptions on the regularity of the exact wavefunction. For bases consisting of all partial waves with angular momentum less than or equal to L, the large L asymptotic energies are found to obey the well-known formula E-L - E = CL-3 + o(L-3), where C is an explicit constant defined in terms of the exact wavefunction.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Mathematics | ||||
| Journal or Publication Title: | SIAM Journal on Mathematical Analysis | ||||
| Publisher: | Society for Industrial and Applied Mathematics | ||||
| ISSN: | 0036-1410 | ||||
| Official Date: | 2009 | ||||
| Dates: |
|
||||
| Volume: | Vol.41 | ||||
| Number: | No.1 | ||||
| Number of Pages: | 40 | ||||
| Page Range: | pp. 77-116 | ||||
| DOI: | 10.1137/080727956 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
