Classical Electromagnetism: Matter and Solutions| Classical Electromagnetism: Matter and Solutions |
Particles and Extended Objects > s.a. Electrodynamics;
Maxwell-Lorentz Equations; monopoles;
radiation; Thomas Precession.
@ General references: Bogolubov et al a1204
[Lagrangian and Hamiltonian aspects of electrodynamic vacuum-field theory models].
@ Dipoles: Anandan Nat(97)ht/98,
PRL(00)ht/99 [interactions];
Power & Thirunamachandran PRS(01),
PRS(01) [field];
Pospelov & Ritz AP(05) [values, and CP violation];
Troncoso & Curilef EJP(06) [in a magnetic field];
Kholmetskii et al EJP(11) [force on a moving dipole];
> s.a. distributions.
@ Other types of particles:
Zatorski & Pachucki PRA(10) [finite-size spinning particles];
Dewar & Leykam PPCF(12)-a1107-conf [dressed test particles];
Galeriu a1509
[electric charge, modeled by infinitesimal length elements, in hyperbolic motion];
> s.a. particle models;
relativistic particle [charged].
@ Extended objects: Stöckel mp/07 [extended charged particle in electromagnetic field, covariant equations of motion];
Kholmetskii & Yarman EJP(08) [fluid moving in an external electromagnetic field, apparent paradoxes];
Gralla et al PRD(10)-a1004 ["bobbing" and "kicks", and gravity];
Van Kortryk a1410 [line segment, history].
> Related topics:
see early-universe nucleosynthesis
[electromagnetic cascades and lithium]; general relativity
solutions [with current loops]; particle effects [creation].
Fields in Extended Media
> s.a. electricity; electromagnetic
field dynamics; QED phenomenology [quantum theory].
* Permittivity: The second-rank
tensor εij (often symmetric
with three equal eigenvalues, εij
= diag(ε, ε, ε) and identified with
a scalar) such that D = ε E.
* Dielectric constant: The ratio
κ = E0/E
> 1 between the fields E0
without dielectric and E with dielectric, produced by the same
charges.
* Field strength: The tensor
I ab = Z
abcd Fcd , where
Z ijkl = \(1\over2\)εijm
εkln
μ−1mn
and Z 0i0j = −Z 0ij0
= Z i0j0 = −Z i00j
−\(1\over2\)εij ,
is sometimes used (> see black-hole analogs).
* Electroacoustic effect: When an acoustic
wave propagates through an electrically conducting surface, it can drag electric charge along
with it, just as wind drags autumn leaves along a street.
@ General references: Robinson 73;
Hehl & Obukhov phy/00
[D, H, E, B];
Wesenberg & Molmer PRL(04)qp [random dipole distribution];
Leung & Ni EJP(08) [on derivation];
Neilson & Senatore ed JPA(09)#21 [strongly-coupled systems];
E et al a1010
[effective Maxwell equations in perfect crystals, from time-dependent density functional theory];
Mansuripur 11 [macroscopic equations as the foundation of classical electrodynamics];
Schuster & Visser PRD(17)-a1706 [fully covariant description];
Partanen & Tulkki PRA(18)-a1803 [non-dispersive, angular momentum];
Oue JMO(19)-a1906 [electromagnetism in a medium at finite temperature].
@ Permittivity: Cancès et al a1010-proc [and microscopic crystal structure];
Mainland & Mulligan a1810 [of the vacuum, calculation].
@ Dielectric constant: Ravndal a0804, Niez AP(10) [effective theory];
> s.a. water.
@ Moving media: Hertzberg et al AJP(01)jun-gq [rotating dielectric and special relativity];
Red'kov & Spix ht/06-proc [uniform];
Banerjee et al AJP(09)may [two charged conducting spheres orbiting each other];
Canovan & Tucker AJP(10)nov [uniformly rotating dielectric];
Goto et al PRS(11),
PRS(11)
[inhomogeneous rotating media and the Abraham and Minkowski tensors];
Itin AP(12)
[covariant matching conditions on an arbitrarily-moving surface between two media].
@ Dispersive media: Tip JMP(06) [and absorptive];
Mostafazadeh PLA(10) [and inhomogeneous, wave propagation];
Cassier et al a1703;
> s.a. dispersion.
@ Non-linear media:
Babin & Figotin CMP(03);
Konopelchenko & Moro JPA(04) [geometric optics].
@ Inhomogeneous media: Kravchenko ZAA-mp/01 [quaternion formulation];
Dereli et al PLA(07) [covariant framework].
@ Waves in other media: Kravchenko & Oviedo mp/01 [chiral];
De Lorenci & Souza PLB(01)gq [effective geometry];
Masood & Saleem IJMPA(17)-a1607 [extremely dense media];
> s.a. radiation.
@ With other fields: Masmoudi & Nakanishi CMP(03) [Maxwell-Dirac and Maxwell-Klein-Gordon, uniqueness];
Antoniou G&C(17)-a1508 [coupling to a scalar field];
Esen et al a1607 [Hamiltonian coupling];
> s.a. chern-simons theory.
@ Quantization: Philbin NJP(10)-a1009 [macroscopic, canonical];
Horsley PRA(11)-a1106 [magnetoelectric media].
@ Related topics: Bastian PT(94)feb [in fish];
Eisenberg SA(98)jun [defibrillation];
news PT(00)may,
news pw(07)mar [ε < 0];
Ilisavskii et al PRL(01)
+ pn(01)sep [anomalous electroacoustic effect];
Perlick JMP(11)-a1011 [constitutive laws for symmetric hyperbolic equations];
> s.a. Continuous Media; earth [atmosphere];
technology [ferroelectrics]; energy-momentum;
Insulators; light; magnetic
effects [magnetodielectric materials]; phenomenology of magnetism [including force-free
fields]; physics teaching and labs [measurements].
Methods and Solutions > s.a. duality;
electromagnetism in curved spacetime; forms;
gauge theory solutions; laplace
equation; lattice gauge theories.
* Waves: Notice that,
becuse of the coupling between electromagnetism and gravity, all
electromagnetic waves are also gravitational waves!
* Remark: There are only 11
separable problems (coordinate systems), only 4 of which are not axisymmetric.
@ Retarded fields: & Chubykalo & Vlaev, comment Škovrlj
& Ivezić IJMPA(02),
Jackson IJMPA(02).
@ Zero-energy solution:
Chubykalo MPLA(98);
Dvoeglazov in(00)phy/99.
@ Superluminal solutions:
Capelas de Oliveira & Rodrigues PLA(01)mp;
Zamboni-Rached et al PRE(01)phy/00,
EPJD(02)phy/01,
PRE(03)phy/02 [wave guide].
@ Singularities: Barletta & Dragomir PS(14) [propagation along characteristics].
@ Other solutions: Katsenelenbaum SPU(94) [approximate];
Białynicki-Birula & Białynicka-Birula PRA(03) [with vortex lines];
Lynden-Bell PRD(04) [relativistic rotating disk];
Huttunen et al JCP(07) [ultra weak variational formulation];
Padmanabhan AJP(09)feb [field of moving charge];
Kijowski & Podles JGP(09) [near arbitrarily moving multipole particle];
Ardavan et al JMP(09)-a0908 [moving source];
Ortaggio & Pravda CQG(16)-a1506 [with vanishing scalar invariants];
Cvitan et al CQG(16)-a1508 [in spacetimes with symmetries];
Ortaggio & Pravda PLB(18)-a1708
[with vanishing quantum corrections].
@ Waves: Walker & Dual gq/97 [longitudinally oscillating];
Bičák & Schmidt PRD(07)-a0803 [with helical symmetry];
Mansuripur PRA(11)-a1205 [spin and orbital angular momentum];
Testa AP(13) [momentum inside a dielectric];
Cooperstock IJMPD(15)-GRF [and gravitational waves];
> s.a. momentum [field momentum]; particles
[field configurations as particle models]; wave phenomenology.
@ Electromagnetic wave memory: Bieri & Garfinkle CQG(13)-a1307;
Susskind a1507
[elementary derivation and proposed setup].
@ Boundary-value problems: Balean & Bartnik PRS(98) [null/timelike boundary];
Reula & Sarbach JHDE(05)gq/04 [as model for general relativity].
@ Related topics: Ferraro AJP(97)may [Lorentz transformations];
Mosley JMP(98) [two complex Us];
Costa De Beauregard FP(04) [status/measurement of A];
Moses JMP(04)
[using irreducible representations of Poincaré group];
> s.a. aharonov-bohm effect.
> Related topics:
see differential equations [fractional, for fields in dielectric media];
fluctuations; Image Charge;
paradigms in physics [hierarchical].
> Specific solutions
and phenomena: see electromagnetism [knotted solutions];
green's functions; solitons;
Thomson Scattering.
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