Efficient generation of configuration interaction matrix elements
β Scribed by Ross W. Wetmore; Gerald A. Segal
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 609 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
A method for the efficient generation of CI marris elements over spin eigenfunctions is presented. Practical application of the approach is iinited to configurations with about 10 open shells, but the algorithm results in the generation of more than 2200 mntris elementslsecond on nn Il3hi 370/158 computer including all overhead for a large matrix which contains 50% non-zero elements.
π SIMILAR VOLUMES
## Abstract A method is proposed for the calculation of matrix elements among various states of atoms. A set of tensor operators is the only entity in the formalism, and all formulas involve merely the vacuum expectation values of these tensor operators and the recoupling transformation coefficient
## Abstract Matrix elements of unitary group generators between spinβadapted antisymmetric states are shown to be proportional to spin matrix elements of soβcalled βlineβupβ permutations. The proportionality factor is given explicitly as a simple function of the orbital occupation numbers. If one b
## Abstract The explicit expressions for the matrix elements of unitary group generators between geminally antisymmetric spinβadapted __N__βelectron configurations in terms of the orbital occupancies and spin factors, given as spin function matrix elements of appropriate orbital permutations, are d
## Abstract The expressions for matrix elements of spinβindependent operators __F__ and __G__ with the use of Young operators are obtained in the case of arbitrary nonorthogonalized orbital configuration, including both singly and doubly filled orbitals and corresponding to the definite value of to