Standard

Schrödinger-like equation for the relativistic few-electron atom. / Shabaev, V. M.

In: Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 26, No. 24, 28.12.1993, p. 4703-4718.

Research output: Contribution to journal › Article › peer-review

Harvard

Shabaev, VM 1993, 'Schrödinger-like equation for the relativistic few-electron atom', Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 26, no. 24, pp. 4703-4718. https://doi.org/10.1088/0953-4075/26/24/006

APA

Shabaev, V. M. (1993). Schrödinger-like equation for the relativistic few-electron atom. Journal of Physics B: Atomic, Molecular and Optical Physics, 26(24), 4703-4718. https://doi.org/10.1088/0953-4075/26/24/006

Vancouver

Shabaev VM. Schrödinger-like equation for the relativistic few-electron atom. Journal of Physics B: Atomic, Molecular and Optical Physics. 1993 Dec 28;26(24):4703-4718. https://doi.org/10.1088/0953-4075/26/24/006

Author

Shabaev, V. M. / Schrödinger-like equation for the relativistic few-electron atom. In: Journal of Physics B: Atomic, Molecular and Optical Physics. 1993 ; Vol. 26, No. 24. pp. 4703-4718.

BibTeX

@article{6e5bce3cfe5a418eb59bc5789a243eb9,
title = "Schr{\"o}dinger-like equation for the relativistic few-electron atom",
abstract = "The equation for the determination of the energy levels and wavefunctions of quasidegenerate states of the relativistic few-electron atom in the form of the usual eigenvalue problem for an energy operator ({\textquoteleft}Schrodinger-like equation1) is constructed consistently from quantum electrodynamics (qed). Two choices of the space Ω2, in which the constructed energy operator H acts, are considered. In the first case Ω2 = Ω2 is the space of the fine structure levels. In the second case Ω2 = Ω2b is the space of all the positive energy states which correspond to the non-relativistic region of the spectrum. The construction of H in the Feynman gauge in the first and second (with the precision up to the terms α2(αZ)2m) orders in a is demonstrated for both choices of Ω . An effective expression for the energy operator Hcti, which gives the energy values within am for high Z and within α2(αZ)2m) for low Z, is proposed.",
author = "Shabaev, {V. M.}",
year = "1993",
month = dec,
day = "28",
doi = "10.1088/0953-4075/26/24/006",
language = "English",
volume = "26",
pages = "4703--4718",
journal = "Journal of the European Optical Society Part B: Quantum Optics",
issn = "0953-4075",
publisher = "IOP Publishing Ltd.",
number = "24",

}

RIS

TY - JOUR

T1 - Schrödinger-like equation for the relativistic few-electron atom

AU - Shabaev, V. M.

PY - 1993/12/28

Y1 - 1993/12/28

N2 - The equation for the determination of the energy levels and wavefunctions of quasidegenerate states of the relativistic few-electron atom in the form of the usual eigenvalue problem for an energy operator (‘Schrodinger-like equation1) is constructed consistently from quantum electrodynamics (qed). Two choices of the space Ω2, in which the constructed energy operator H acts, are considered. In the first case Ω2 = Ω2 is the space of the fine structure levels. In the second case Ω2 = Ω2b is the space of all the positive energy states which correspond to the non-relativistic region of the spectrum. The construction of H in the Feynman gauge in the first and second (with the precision up to the terms α2(αZ)2m) orders in a is demonstrated for both choices of Ω . An effective expression for the energy operator Hcti, which gives the energy values within am for high Z and within α2(αZ)2m) for low Z, is proposed.

AB - The equation for the determination of the energy levels and wavefunctions of quasidegenerate states of the relativistic few-electron atom in the form of the usual eigenvalue problem for an energy operator (‘Schrodinger-like equation1) is constructed consistently from quantum electrodynamics (qed). Two choices of the space Ω2, in which the constructed energy operator H acts, are considered. In the first case Ω2 = Ω2 is the space of the fine structure levels. In the second case Ω2 = Ω2b is the space of all the positive energy states which correspond to the non-relativistic region of the spectrum. The construction of H in the Feynman gauge in the first and second (with the precision up to the terms α2(αZ)2m) orders in a is demonstrated for both choices of Ω . An effective expression for the energy operator Hcti, which gives the energy values within am for high Z and within α2(αZ)2m) for low Z, is proposed.

UR - http://www.scopus.com/inward/record.url?scp=0000035945&partnerID=8YFLogxK

U2 - 10.1088/0953-4075/26/24/006

DO - 10.1088/0953-4075/26/24/006

M3 - Article

AN - SCOPUS:0000035945

VL - 26

SP - 4703

EP - 4718

JO - Journal of the European Optical Society Part B: Quantum Optics

JF - Journal of the European Optical Society Part B: Quantum Optics

SN - 0953-4075

IS - 24

ER -

ID: 35708717