scholarly journals IONIZATION BY QUANTIZED ELECTROMAGNETIC FIELDS: THE PHOTOELECTRIC EFFECT

2008 ◽  
Vol 20 (04) ◽  
pp. 367-406 ◽  
Author(s):  
HERIBERT ZENK
Keyword(s):  
Quantum Electrodynamics ◽  
Single Photon ◽  
Relativistic Quantum ◽  
Ionization Probability ◽  
Bound State ◽  
Photoelectric Effect ◽  
The Standard Model ◽  
The One ◽  
Electron Photon ◽  
Photon Interactions

In this paper, we explain the photoelectric effect in a variant of the standard model of non relativistic quantum electrodynamics, which is in some aspects more closely related to the physical picture, than the one studied in [5]. Now, we can apply our results to an electron with more than one bound state and to a larger class of electron-photon interactions. We will specify a situation, where the second order of ionization probability is a weighted sum of single photon terms. Furthermore, we will see that Einstein's equality [Formula: see text] for the maximal kinetic energy E kin of the electron, energy hν of the photon and ionization gap △E is the crucial condition, for these single photon terms to be nonzero.

scholarly journals Quantum Electrodynamics in Strong Magnetic Fields. III. Electron?Photon Interactions

1983 ◽  
Vol 36 (6) ◽  
pp. 799 ◽  
Author(s):  
DB Melrose ◽  
AJ Parle
Keyword(s):  
Compton Scattering ◽  
Ground State ◽  
Quantum Electrodynamics ◽  
Relativistic Quantum ◽  
Photon Pair ◽  
Photon Excitation ◽  
Pair Annihilation ◽  
Quantum Electron ◽  
Electron Photon ◽  
Photon Interactions

A version of QED is developed which allows one to treat electron-photon interactions in the magnetized vacuum exactly and which allows one to calculate the responses of a relativistic quantum electron gas and include these responses in QED. Gyromagnetic emission and related crossed processes, and Compton scattering and related processes are discussed in some detail. Existing results are corrected or generalized for nonrelativistic (quantum) gyroemission, one-photon pair creation, Compton scattering by electrons in the ground state and two-photon excitation to the first Landau level from the ground state. We also comment on maser action in one-photon pair annihilation.

Past, present and future of the muon g-2

2015 ◽  
Vol 39 ◽  
pp. 1560107
Author(s):  
A. E. Dorokhov ◽  
A. E. Radzhabov ◽  
A. S. Zhevlakov
Keyword(s):  
Quantum Electrodynamics ◽  
Particle Physics ◽  
Relativistic Quantum ◽  
Magnetic Moments ◽  
Structure Constant ◽  
New Physics ◽  
Fine Structure Constant ◽  
Measured Quantity ◽  
The Standard Model

The electron and muon anomalous magnetic moments (AMM) are measured in experiments and studied in the Standard Model (SM) with the highest precision accessible in particle physics. The comparison of the measured quantity with the SM prediction for the electron AMM provides the best determination of the fine structure constant. The muon AMM is more sensitive to the appearance of New Physics effects and, at present, there appears to be a three- to four-standard deviation between the SM and experiment. The lepton AMMs are pure relativistic quantum correction effects and therefore test the foundations of relativistic quantum field theory in general, and of quantum electrodynamics (QED) and SM in particular, with highest sensitivity. Special attention is paid to the studies of the hadronic contributions to the muon AMM which constitute the main source of theoretical uncertainties of the SM.

scholarly journals Continuity properties of the semi-group and its integral kernel in non-relativistic QED

2016 ◽  
Vol 28 (05) ◽  
pp. 1650011 ◽  
Author(s):  
Oliver Matte
Keyword(s):  
Quantum Electrodynamics ◽  
Relativistic Quantum ◽  
Integral Kernel ◽  
Model Parameters ◽  
Semi Group ◽  
Continuity Properties ◽  
The Standard Model ◽  
Spatial Coordinates ◽  
Spectral Subspaces ◽  
Vector Valued

Employing recent results on stochastic differential equations associated with the standard model of non-relativistic quantum electrodynamics by B. Güneysu, J. S. Møller, and the present author, we study the continuity of the corresponding semi-group between weighted vector-valued [Formula: see text]-spaces, continuity properties of elements in the range of the semi-group, and the pointwise continuity of an operator-valued semi-group kernel. We further discuss the continuous dependence of the semi-group and its integral kernel on model parameters. All these results are obtained for Kato decomposable electrostatic potentials and the actual assumptions on the model are general enough to cover the Nelson model as well. As a corollary, we obtain some new pointwise exponential decay and continuity results on elements of low-energetic spectral subspaces of atoms or molecules that also take spin into account. In a simpler situation where spin is neglected, we explain how to verify the joint continuity of positive ground state eigenvectors with respect to spatial coordinates and model parameters. There are no smallness assumptions imposed on any model parameter.

scholarly journals Resonance Electroproduction and the Origin of Mass

2020 ◽  
Vol 241 ◽  
pp. 02008
Author(s):  
Craig D. Roberts
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Relativistic Quantum ◽  
Bound State ◽  
Quantum Field ◽  
Relativistic Quantum Field Theory ◽  
State Problem ◽  
The Standard Model ◽  
Bound State Problem ◽  
The Continuum

One of the greatest challenges within the Standard Model is to discover the source of visible mass. Indeed, this is the focus of a “Millennium Problem”, posed by the Clay Mathematics Institute. The answer is hidden within quantum chromodynamics (QCD); and it is probable that revealing the origin of mass will also explain the nature of confinement. In connection with these issues, this perspective will describe insights that have recently been drawn using contemporary methods for solving the continuum bound-state problem in relativistic quantum field theory and how they have been informed and enabled by modern experiments on nucleon-resonance electroproduction.

FERMION INDUCED SINGULARITIES IN A NON-RELATIVISTIC EFFECTIVE LAGRANGIAN FOR ELECTROMAGNETISM

1991 ◽  
Vol 05 (09) ◽  
pp. 1419-1436 ◽  
Author(s):  
S. RANDJBAR-DAEMI ◽  
ABDUS SALAM ◽  
J. STRATHDEE
Keyword(s):  
Quantum Electrodynamics ◽  
Relativistic Quantum ◽  
Effective Field ◽  
Landau Levels ◽  
Zero Temperature ◽  
Oscillatory Behaviour ◽  
Simple Derivation ◽  
Effective Lagrangian ◽  
The One ◽  
Background Fields

Effective field theory methods are applied to the study of non-relativistic quantum electrodynamics in a slowly varying electromagnetic background. It is shown that the one-loop effective action has singularities at those values of the background fields which correspond to complete fillings of Landau levels. One immediate result of our work is a simple derivation of the oscillatory behaviour of the energy density magnetization and permittivities, at zero temperature.

QED and X-Ray Pulsars

1985 ◽  
Vol 6 (2) ◽  
pp. 211-214 ◽  
Author(s):  
Michelle C. Allen ◽  
D. B. Melrose ◽  
A. J. Parle
Keyword(s):  
Neutron Stars ◽  
Cross Sections ◽  
Quantum Electrodynamics ◽  
Particle Interactions ◽  
Electron Collisions ◽  
X Ray ◽  
Electron Photon ◽  
Photon Interactions

AbstractTechniques in QED (quantum electrodynamics) have been developed previously (see for example Melrose and Parle 1983) allowing one to treat electron-photon and photon-photon interactions exactly in the magnetized vacuum and allowing one to include the effects of a medium. These techniques are extended to include particle-particle interactions. Exact cross-sections for electron-electron collisions are derived and compared with known expressions. Such calculations have application in studies of the formation and transfer of radiation in the atmospheres surrounding neutron stars.

scholarly journals SPECTRAL RENORMALIZATION GROUP AND LOCAL DECAY IN THE STANDARD MODEL OF NON-RELATIVISTIC QUANTUM ELECTRODYNAMICS

2011 ◽  
Vol 23 (02) ◽  
pp. 179-209 ◽  
Author(s):  
JÜRG FRÖHLICH ◽  
MARCEL GRIESEMER ◽  
ISRAEL MICHAEL SIGAL
Keyword(s):  
Renormalization Group ◽  
Standard Model ◽  
Continuous Spectrum ◽  
Quantum Electrodynamics ◽  
Relativistic Quantum ◽  
Limiting Absorption Principle ◽  
The Standard Model ◽  
Group Technique

We prove a limiting absorption principle for the standard model of non-relativistic quantum electrodynamics (QED) and for Nelson's model describing interactions of electrons with phonons. To this end, we use the spectral renormalization group technique on the continuous spectrum in conjunction with Mourre theory.

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