dorsal/arxiv
View SchemaSpin-other-orbit operator in the tensorial form of second quantization
| Authors | G. Gaigalas, A. Bernotas, Z. Rudzikas, C. Froese Fischer |
|---|---|
| Categories | |
| ArXiv ID | physics/0405092 |
| URL | https://arxiv.org/abs/physics/0405092 |
| DOI | 10.1088/0031-8949/57/2/008 |
| Journal | Physica Scripta 57 (1998) 207-212 |
Abstract
The tensorial form of the spin-other-orbit interaction operator in the formalism of second quantization is presented. Such an expression is needed to calculate both diagonal and off-diagonal matrix elements according to an approach, based on a combination of second quantization in the coupled tensorial form, angular momentum theory in three spaces (orbital, spin and quasispin), and a generalized graphical technique. One of the basic features of this approach is the use of tables of standard quantities, without which the process of obtaining matrix elements of spin-other-orbit interaction operator between any electron configurations is much more complicated. Some special cases are shown for which the tensorial structure of the spin-other-orbit interaction operator reduces to an unusually simple form.
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"abstract": "The tensorial form of the spin-other-orbit interaction operator in the\nformalism of second quantization is presented. Such an expression is needed to\ncalculate both diagonal and off-diagonal matrix elements according to an\napproach, based on a combination of second quantization in the coupled\ntensorial form, angular momentum theory in three spaces (orbital, spin and\nquasispin), and a generalized graphical technique. One of the basic features of\nthis approach is the use of tables of standard quantities, without which the\nprocess of obtaining matrix elements of spin-other-orbit interaction operator\nbetween any electron configurations is much more complicated. Some special\ncases are shown for which the tensorial structure of the spin-other-orbit\ninteraction operator reduces to an unusually simple form.",
"arxiv_id": "physics/0405092",
"authors": [
"G. Gaigalas",
"A. Bernotas",
"Z. Rudzikas",
"C. Froese Fischer"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1088/0031-8949/57/2/008",
"journal_ref": "Physica Scripta 57 (1998) 207-212",
"title": "Spin-other-orbit operator in the tensorial form of second quantization",
"url": "https://arxiv.org/abs/physics/0405092"
},
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