The use of partitioning technique in the solution of operator equations for ionizations and excitations
β Scribed by Per-Olof Nerbrant
- Book ID
- 104578826
- Publisher
- John Wiley and Sons
- Year
- 1976
- Tongue
- English
- Weight
- 461 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
An inhomogeneous operator equation is associated with the equations of motion for ionizationβ and excitation operators. The partitioning technique is applied to solve the equation. Formal expressions for the ionizationβ and excitation operators are obtained and examples of approximations to these are given.
π SIMILAR VOLUMES
## Abstract In this paper we establish the necessary and sufficient conditions for the invertibility of the operator __K__ in LΓΆwdin's treatment of the partitioning technique for the solving problems in quantum mechanics.
Building on the method of Kantorovich majorants, we give convergence results and error estimates for the two-step Newton method for the approximate solution of a nonlinear operator equation.