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 -