Standard

Generalizations of the virial relations for the dirac equation in a central held and their applications to the coulomb held. / Shabaev, V. M.

в: Journal of Physics B: Atomic, Molecular and Optical Physics, Том 24, № 21, 14.11.1991, стр. 4479-4488.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Shabaev, VM 1991, 'Generalizations of the virial relations for the dirac equation in a central held and their applications to the coulomb held', Journal of Physics B: Atomic, Molecular and Optical Physics, Том. 24, № 21, стр. 4479-4488. https://doi.org/10.1088/0953-4075/24/21/004

APA

Shabaev, V. M. (1991). Generalizations of the virial relations for the dirac equation in a central held and their applications to the coulomb held. Journal of Physics B: Atomic, Molecular and Optical Physics, 24(21), 4479-4488. https://doi.org/10.1088/0953-4075/24/21/004

Vancouver

Shabaev VM. Generalizations of the virial relations for the dirac equation in a central held and their applications to the coulomb held. Journal of Physics B: Atomic, Molecular and Optical Physics. 1991 Нояб. 14;24(21):4479-4488. https://doi.org/10.1088/0953-4075/24/21/004

Author

Shabaev, V. M. / Generalizations of the virial relations for the dirac equation in a central held and their applications to the coulomb held. в: Journal of Physics B: Atomic, Molecular and Optical Physics. 1991 ; Том 24, № 21. стр. 4479-4488.

BibTeX

@article{002e5b50e488433d8b61e77ce1bb423d,
title = "Generalizations of the virial relations for the dirac equation in a central held and their applications to the coulomb held",
abstract = "The virial relations for the Dirac equation are generalized for the case of the non-diagonal radial matrix elements and for the case when we integrate over an arbitrary finite interval of the radial variable. The case of the Coulomb field is considered separately. Recurrence relations between the solutions of some class of inhomogeneous equations appearing in the relativistic calculations of atoms according to perturbation theory are derived. Some applications of the obtained relations are discussed. In particular, a possibility of their application to the calculations of hyperfine structure of multiply charged ions in the first and higher orders of perturbation theory is demonstrated. The corresponding non-relativistic analogues of the relations obtained are.also considered.",
author = "Shabaev, {V. M.}",
year = "1991",
month = nov,
day = "14",
doi = "10.1088/0953-4075/24/21/004",
language = "English",
volume = "24",
pages = "4479--4488",
journal = "Quantum Optics",
issn = "0953-4075",
publisher = "IOP Publishing Ltd.",
number = "21",

}

RIS

TY - JOUR

T1 - Generalizations of the virial relations for the dirac equation in a central held and their applications to the coulomb held

AU - Shabaev, V. M.

PY - 1991/11/14

Y1 - 1991/11/14

N2 - The virial relations for the Dirac equation are generalized for the case of the non-diagonal radial matrix elements and for the case when we integrate over an arbitrary finite interval of the radial variable. The case of the Coulomb field is considered separately. Recurrence relations between the solutions of some class of inhomogeneous equations appearing in the relativistic calculations of atoms according to perturbation theory are derived. Some applications of the obtained relations are discussed. In particular, a possibility of their application to the calculations of hyperfine structure of multiply charged ions in the first and higher orders of perturbation theory is demonstrated. The corresponding non-relativistic analogues of the relations obtained are.also considered.

AB - The virial relations for the Dirac equation are generalized for the case of the non-diagonal radial matrix elements and for the case when we integrate over an arbitrary finite interval of the radial variable. The case of the Coulomb field is considered separately. Recurrence relations between the solutions of some class of inhomogeneous equations appearing in the relativistic calculations of atoms according to perturbation theory are derived. Some applications of the obtained relations are discussed. In particular, a possibility of their application to the calculations of hyperfine structure of multiply charged ions in the first and higher orders of perturbation theory is demonstrated. The corresponding non-relativistic analogues of the relations obtained are.also considered.

UR - http://www.scopus.com/inward/record.url?scp=0000581181&partnerID=8YFLogxK

U2 - 10.1088/0953-4075/24/21/004

DO - 10.1088/0953-4075/24/21/004

M3 - Article

AN - SCOPUS:0000581181

VL - 24

SP - 4479

EP - 4488

JO - Quantum Optics

JF - Quantum Optics

SN - 0953-4075

IS - 21

ER -

ID: 35709404