The fine-structure parameters and Zeeman splitting of levels of the configurations 1sni (n = 7 − 10) of the helium atom

Galina Pavlovna Anisimova, Igor Cheslavovich Mashek, Olga Aleksandrovna Dolmatova, Anna Petrovna Gorbenko, Robert Ivanovich Semenov, Martin Luther Tchoffo, Galina Aleksandrovna Tsygankova

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

By the semiempirical method in the intermediate coupling, the fine-structure parameters of 1sni Helium atom configurations were determined from the resolution of the system of nonlinear equations by the Newton’s iteration method. The system is based on an energy operator nondiagonal matrix, in which the following interactions were taken into account: the electrostatic, the spin-orbit (own and other) and the spin-spin interactions. With the obtained fine-structure parameters, the numerical diagonalization of the energy operator matrix was effected. The result was the calculated energies, coinciding to last digit with the experimental analogues, and the intermediate coupling coefficients. The gyromagnetic ratios of the 3I6 and 1I6 levels were determined and the appreciation of the character of the coupling in the consider systems was done. The Zeeman structure of the 1sni configurations was investigated. Its particularity and the domain of linearity of the magnetic field were determined. The gyromagnetic ratios
Язык оригиналаанглийский
Страницы (с-по)143-151
Число страниц9
ЖурналAmerican Journal of Modern Physics
Том3
Номер выпуска4
DOI
СостояниеОпубликовано - 2014

Отпечаток

helium atoms
fine structure
configurations
operators
digits
coupling coefficients
newton
nonlinear equations
iteration
linearity
energy
interactions
analogs
electrostatics
orbits
matrices
magnetic fields

Цитировать

Anisimova, Galina Pavlovna ; Mashek, Igor Cheslavovich ; Dolmatova, Olga Aleksandrovna ; Gorbenko, Anna Petrovna ; Semenov, Robert Ivanovich ; Tchoffo, Martin Luther ; Tsygankova, Galina Aleksandrovna. / The fine-structure parameters and Zeeman splitting of levels of the configurations 1sni (n = 7 − 10) of the helium atom. В: American Journal of Modern Physics. 2014 ; Том 3, № 4. стр. 143-151.
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title = "The fine-structure parameters and Zeeman splitting of levels of the configurations 1sni (n = 7 − 10) of the helium atom",
abstract = "By the semiempirical method in the intermediate coupling, the fine-structure parameters of 1sni Helium atom configurations were determined from the resolution of the system of nonlinear equations by the Newton’s iteration method. The system is based on an energy operator nondiagonal matrix, in which the following interactions were taken into account: the electrostatic, the spin-orbit (own and other) and the spin-spin interactions. With the obtained fine-structure parameters, the numerical diagonalization of the energy operator matrix was effected. The result was the calculated energies, coinciding to last digit with the experimental analogues, and the intermediate coupling coefficients. The gyromagnetic ratios of the 3I6 and 1I6 levels were determined and the appreciation of the character of the coupling in the consider systems was done. The Zeeman structure of the 1sni configurations was investigated. Its particularity and the domain of linearity of the magnetic field were determined. The gyromagnetic ratios",
keywords = "Energy Operator Matrix, LSJM Representation, Uncoupled Moments Representation, Zeeman Splitting, Magnetic Field, Crossing and Anticrossings of the Magnetic Sublevels",
author = "Anisimova, {Galina Pavlovna} and Mashek, {Igor Cheslavovich} and Dolmatova, {Olga Aleksandrovna} and Gorbenko, {Anna Petrovna} and Semenov, {Robert Ivanovich} and Tchoffo, {Martin Luther} and Tsygankova, {Galina Aleksandrovna}",
year = "2014",
doi = "10.11648/j.ajmp.20140304.11",
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volume = "3",
pages = "143--151",
journal = "American Journal of Modern Physics",
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The fine-structure parameters and Zeeman splitting of levels of the configurations 1sni (n = 7 − 10) of the helium atom. / Anisimova, Galina Pavlovna; Mashek, Igor Cheslavovich; Dolmatova, Olga Aleksandrovna; Gorbenko, Anna Petrovna; Semenov, Robert Ivanovich; Tchoffo, Martin Luther; Tsygankova, Galina Aleksandrovna.

В: American Journal of Modern Physics, Том 3, № 4, 2014, стр. 143-151.

Результат исследований: Научные публикации в периодических изданияхстатья

TY - JOUR

T1 - The fine-structure parameters and Zeeman splitting of levels of the configurations 1sni (n = 7 − 10) of the helium atom

AU - Anisimova, Galina Pavlovna

AU - Mashek, Igor Cheslavovich

AU - Dolmatova, Olga Aleksandrovna

AU - Gorbenko, Anna Petrovna

AU - Semenov, Robert Ivanovich

AU - Tchoffo, Martin Luther

AU - Tsygankova, Galina Aleksandrovna

PY - 2014

Y1 - 2014

N2 - By the semiempirical method in the intermediate coupling, the fine-structure parameters of 1sni Helium atom configurations were determined from the resolution of the system of nonlinear equations by the Newton’s iteration method. The system is based on an energy operator nondiagonal matrix, in which the following interactions were taken into account: the electrostatic, the spin-orbit (own and other) and the spin-spin interactions. With the obtained fine-structure parameters, the numerical diagonalization of the energy operator matrix was effected. The result was the calculated energies, coinciding to last digit with the experimental analogues, and the intermediate coupling coefficients. The gyromagnetic ratios of the 3I6 and 1I6 levels were determined and the appreciation of the character of the coupling in the consider systems was done. The Zeeman structure of the 1sni configurations was investigated. Its particularity and the domain of linearity of the magnetic field were determined. The gyromagnetic ratios

AB - By the semiempirical method in the intermediate coupling, the fine-structure parameters of 1sni Helium atom configurations were determined from the resolution of the system of nonlinear equations by the Newton’s iteration method. The system is based on an energy operator nondiagonal matrix, in which the following interactions were taken into account: the electrostatic, the spin-orbit (own and other) and the spin-spin interactions. With the obtained fine-structure parameters, the numerical diagonalization of the energy operator matrix was effected. The result was the calculated energies, coinciding to last digit with the experimental analogues, and the intermediate coupling coefficients. The gyromagnetic ratios of the 3I6 and 1I6 levels were determined and the appreciation of the character of the coupling in the consider systems was done. The Zeeman structure of the 1sni configurations was investigated. Its particularity and the domain of linearity of the magnetic field were determined. The gyromagnetic ratios

KW - Energy Operator Matrix

KW - LSJM Representation

KW - Uncoupled Moments Representation

KW - Zeeman Splitting

KW - Magnetic Field

KW - Crossing and Anticrossings of the Magnetic Sublevels

U2 - 10.11648/j.ajmp.20140304.11

DO - 10.11648/j.ajmp.20140304.11

M3 - Article

VL - 3

SP - 143

EP - 151

JO - American Journal of Modern Physics

JF - American Journal of Modern Physics

SN - 2326-8867

IS - 4

ER -