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Analytic Elements from Singular Integral Equations

David R. Steward

in Analytic Element Method: Complex Interactions of Boundaries and Interfaces

Published in print:
2020
Published Online:
November 2020
ISBN:
9780198856788
eISBN:
9780191890031
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198856788.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Solutions to interface problems may be developed using analytic elements with mathematical solutions to the Laplace equation developed by singular integral equations. This formulation leads to ... More


The One-electron Quantum Hamiltonian in the Presence of EM Fields

Jochen Autschbach

in Quantum Theory for Chemical Applications: From Basic Concepts to Advanced Topics

Published in print:
2020
Published Online:
February 2021
ISBN:
9780190920807
eISBN:
9780197508350
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190920807.003.0021
Subject:
Chemistry, Quantum and Theoretical Chemistry

The interaction between atoms or molecules and electromagnetic (EM) fields underlies all spectroscopic techniques and a great variety of desirable molecular properties. EM fields and EM waves are ... More


Elements of Classical Field Theory

Weiner John and Frederico Nunes

in Light-Matter Interaction: Physics and Engineering at the Nanoscale

Published in print:
2012
Published Online:
December 2013
ISBN:
9780198567653
eISBN:
9780191775147
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567653.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter starts with a review of the classical electromagnetic field quantities, and their properties when fields enter ponderable matter. Maxwell’s equations are presented, and their ... More


The Potentials

Richard Freeman, James King, and Gregory Lafyatis

in Electromagnetic Radiation

Published in print:
2019
Published Online:
February 2019
ISBN:
9780198726500
eISBN:
9780191793325
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198726500.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

The concepts of scalar and vector potentials are introduced and the electric and magnetic fields are shown to be derived from specific forms of these potentials. The choice of these forms is ... More


Relativistic Electromagnetic Interactions

Kenneth G. Dyall and Knut Faegri

in Introduction to Relativistic Quantum Chemistry

Published in print:
2007
Published Online:
November 2020
ISBN:
9780195140866
eISBN:
9780197561744
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195140866.003.0007
Subject:
Chemistry, Quantum and Theoretical Chemistry

Chemical concepts are conveniently formulated in terms of molecules—aggregates of atoms linked by electromagnetic interactions. The proper relativistic description of these interactions is a ... More


Quantum Radiation Field: Spontaneous Emission and Entangled Photons

Duncan G. Steel

in Introduction to Quantum Nanotechnology: A Problem Focused Approach

Published in print:
2021
Published Online:
July 2021
ISBN:
9780192895073
eISBN:
9780191924149
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192895073.003.0015
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

One of the greatest successes in quantum theory, and certainly one of the more important parts for application to devices and applications is the prediction of the emission of light through the ... More


The electromagnetic potentials

J. Pierrus

in Solved Problems in Classical Electromagnetism: Analytical and Numerical Solutions with Comments

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198821915
eISBN:
9780191861055
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198821915.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

This chapter expresses the fields E(r, t) and B(r, t) in terms of the electromagnetic potentials Ф(r, t) and A(r, t), and shows that these potentials are defined only up to a gauge transformation. ... More


Static magnetic fields in vacuum

J. Pierrus

in Solved Problems in Classical Electromagnetism: Analytical and Numerical Solutions with Comments

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198821915
eISBN:
9780191861055
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198821915.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

Wherever possible, an attempt has been made to structure this chapter along similar lines to Chapter 2 (its electrostatic counterpart). Maxwell’s magnetostatic equations are derived from Ampere’s ... More


Dynamical Theory

Tuck C. Choy

in Effective Medium Theory: Principles and Applications

Published in print:
2015
Published Online:
January 2016
ISBN:
9780198705093
eISBN:
9780191774171
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198705093.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

This chapter stretches EMT concepts for the study of time-dependent phenomena and lays the foundation of EMT for electromagnetic composites. The first section gives a review of the issues concerning ... More


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