Gyromagnetic factors of bound particles with arbitrary spin in quantum electrodynamics

2002 ◽  
Vol 80 (11) ◽  
pp. 1365-1372
Author(s):  
R N Faustov ◽  
A P Martynenko
Keyword(s):  
Hydrogen Atom ◽  
Magnetic Moment ◽  
Quantum Electrodynamics ◽  
Bound State ◽  
Arbitrary Spin ◽  
Radiative Corrections ◽  
Particle Spin ◽  
G Factors

A quasipotential method is formulated for calculating relativistic and radiative corrections to the magnetic moment of a two-particle bound state in the case of particles with arbitrary spin. It is shown that the g factors of bound particles contain O(α2) terms depending on the particle spin. Numerical values for the g factors of the electron in the hydrogen atom and deuterium are obtained. PACS Nos.: 31.30Jv, 12.20Ds, 32.10Dk

scholarly journals Magnetic moment of a two-particle bound state in quantum electrodynamics

2002 ◽  
Vol 65 (2) ◽  
pp. 271-276 ◽  
Author(s):  
A. P. Martynenko ◽  
R. N. Faustov
Keyword(s):  
Magnetic Moment ◽  
Quantum Electrodynamics ◽  
Bound State

scholarly journals Universality of leading relativistic corrections to bound state gyromagnetic ratiosThis paper was presented at the International Conference on Precision Physics of Simple Atomic Systems, held at École de Physique, les Houches, France, 30 May – 4 June, 2010.

2011 ◽  
Vol 89 (1) ◽  
pp. 117-122 ◽  
Author(s):  
Michael I. Eides ◽  
Timothy J.S. Martin
Keyword(s):  
Free Particle ◽  
Bound State ◽  
Arbitrary Spin ◽  
Atomic Systems ◽  
International Conference ◽  
Relativistic Corrections ◽  
Physical Reasons ◽  
G Factors

We discuss the leading relativistic (nonrecoil and recoil) corrections to bound state g-factors of particles with arbitrary spin. These corrections are universal for any spin and depend only on the free particle gyromagnetic ratios. We explain the physical reasons behind this universality.

Measurement of the gJ factor of a bound electron in hydrogen-like oxygen 16O7+

2002 ◽  
Vol 80 (11) ◽  
pp. 1233-1240 ◽  
Author(s):  
J L Verdú ◽  
T Beier ◽  
S Djekic ◽  
H Häffner ◽  
H -J Kluge ◽  
...  
Keyword(s):  
Magnetic Moment ◽  
Quantum Electrodynamics ◽  
Penning Trap ◽  
Bound State ◽  
Relative Precision ◽  
Nuclear Correction ◽  
Bound Electron

The magnetic moment of the electron bound in hydrogen-like oxygen O7+ has been determined using the "continuous Stern–Gerlach effect" in a double Penning trap. We obtained a relative precision of 2 x 10–9. This tests calculations of bound-state quantum electrodynamics and nuclear correction. PACS No.: 32.10Dk

scholarly journals Dynamical Symmetries of the H Atom, One of the Most Important Tools of Modern Physics: SO(4) to SO(4,2), Background, Theory, and Use in Calculating Radiative Shifts

Symmetry ◽  
2020 ◽  
Vol 12 (8) ◽  
pp. 1323 ◽  
Author(s):  
G. Jordan Maclay
Keyword(s):  
Hydrogen Atom ◽  
Quantum Electrodynamics ◽  
Particle Physics ◽  
Bound States ◽  
Integrated Treatment ◽  
Invariance Group ◽  
Elementary Particle Physics ◽  
Background Theory ◽  
Modern Physics ◽  
History Of

Understanding the hydrogen atom has been at the heart of modern physics. Exploring the symmetry of the most fundamental two body system has led to advances in atomic physics, quantum mechanics, quantum electrodynamics, and elementary particle physics. In this pedagogic review, we present an integrated treatment of the symmetries of the Schrodinger hydrogen atom, including the classical atom, the SO(4) degeneracy group, the non-invariance group or spectrum generating group SO(4,1), and the expanded group SO(4,2). After giving a brief history of these discoveries, most of which took place from 1935–1975, we focus on the physics of the hydrogen atom, providing a background discussion of the symmetries, providing explicit expressions for all of the manifestly Hermitian generators in terms of position and momenta operators in a Cartesian space, explaining the action of the generators on the basis states, and giving a unified treatment of the bound and continuum states in terms of eigenfunctions that have the same quantum numbers as the ordinary bound states. We present some new results from SO(4,2) group theory that are useful in a practical application, the computation of the first order Lamb shift in the hydrogen atom. By using SO(4,2) methods, we are able to obtain a generating function for the radiative shift for all levels. Students, non-experts, and the new generation of scientists may find the clearer, integrated presentation of the symmetries of the hydrogen atom helpful and illuminating. Experts will find new perspectives, even some surprises.

scholarly journals The orbits of a charged particle round an electric and magnetic nucleus

1915 ◽  
Vol 91 (628) ◽  
pp. 273-290
Keyword(s):  
Charged Particle ◽  
Hydrogen Atom ◽  
Magnetic Moment ◽  
Equatorial Plane ◽  
Central Mass ◽  
Magnetic Nucleus ◽  
Chief Interest ◽  
Revolving Body ◽  
Charged Nucleus ◽  
Positively Charged

The following communication is formally a complement to one published in the 'Proceedings' of the Society on "The Effect of the Magneton on the Scattering of α-Rays." In the present paper the more general case of a central positively charged nucleus possessing mass and a magnetic moment is considered. The case is treated as if the mass of the nucleus is so large compared with that of the revolving particle that it may be regarded as fixed. It is, therefore, not directly applicable when the revolving body is an α-particle except in cases where the central mass is large compared with that of the hydrogen atom. It is shown later what modification is needed when the motion of the nucleus is not large enough to affect its magnetic quality. The former paper was suggested by certain theories relating to the scattering of α and β-particles by matter. In the present, however, the chief interest lies in the discussion of the nature and properties of the various orbits, more especially of such as do not extend to infinity, or as they may be called "local orbits." In both cases the motion in the equatorial plane of the magneton alone is considered.

scholarly journals Quantum electrodynamics with self-conjugated equations with spinor wave functions for fermion fields

2021 ◽  
pp. 2150086
Author(s):  
V. P. Neznamov ◽  
V. E. Shemarulin
Keyword(s):  
Cross Sections ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Quantum Electrodynamics ◽  
Lamb Shift ◽  
Wave Functions ◽  
Self Energy ◽  
Fermion Fields ◽  
Spinor Wave

Quantum electrodynamics (QED) with self-conjugated equations with spinor wave functions for fermion fields is considered. In the low order of the perturbation theory, matrix elements of some of QED physical processes are calculated. The final results coincide with cross-sections calculated in the standard QED. The self-energy of an electron and amplitudes of processes associated with determination of the anomalous magnetic moment of an electron and Lamb shift are calculated. These results agree with the results in the standard QED. Distinctive feature of the developed theory is the fact that only states with positive energies are present in the intermediate virtual states in the calculations of the electron self-energy, anomalous magnetic moment of an electron and Lamb shift. Besides, in equations, masses of particles and antiparticles have the opposite signs.

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