dorsal/arxiv
View SchemaOn the secondly quantized theory of many-electron atom
| Authors | G. Gaigalas, Z. Rudzikas |
|---|---|
| Categories | |
| ArXiv ID | physics/0405096 |
| URL | https://arxiv.org/abs/physics/0405096 |
| DOI | 10.1088/0953-4075/29/15/007 |
| Journal | J. Phys. B: At. Mol. Opt. Phys. 29 (1996) 3303-3318 |
Abstract
Traditional theory of many-electron atoms and ions is based on the coefficients of fractional parentage and matrix elements of tensorial operators, composed of unit tensors. Then the calculation of spin-angular coefficients of radial integrals appearing in the expressions of matrix elements of arbitrary physical operators of atomic quantities has two main disadvantages: (i) The numerical codes for the calculation of spin-angular coefficients are usually very time-consuming; (ii) f-shells are often omitted from programs for matrix element calculation since the tables for their coefficients of fractional parentage are very extensive. The authors suppose that a series of difficulties persisting in the traditional approach to the calculation of spin-angular parts of matrix elements could be avoided by using this secondly quantized methodology, based on angular momentum theory, on the concept of the irreducible tensorial sets, on a generalized graphical method, on quasispin and on the reduced coefficients of fractional parentage.
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"abstract": "Traditional theory of many-electron atoms and ions is based on the\ncoefficients of fractional parentage and matrix elements of tensorial\noperators, composed of unit tensors. Then the calculation of spin-angular\ncoefficients of radial integrals appearing in the expressions of matrix\nelements of arbitrary physical operators of atomic quantities has two main\ndisadvantages: (i) The numerical codes for the calculation of spin-angular\ncoefficients are usually very time-consuming; (ii) f-shells are often omitted\nfrom programs for matrix element calculation since the tables for their\ncoefficients of fractional parentage are very extensive. The authors suppose\nthat a series of difficulties persisting in the traditional approach to the\ncalculation of spin-angular parts of matrix elements could be avoided by using\nthis secondly quantized methodology, based on angular momentum theory, on the\nconcept of the irreducible tensorial sets, on a generalized graphical method,\non quasispin and on the reduced coefficients of fractional parentage.",
"arxiv_id": "physics/0405096",
"authors": [
"G. Gaigalas",
"Z. Rudzikas"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1088/0953-4075/29/15/007",
"journal_ref": "J. Phys. B: At. Mol. Opt. Phys. 29 (1996) 3303-3318",
"title": "On the secondly quantized theory of many-electron atom",
"url": "https://arxiv.org/abs/physics/0405096"
},
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