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Topic: Fractional electrodynamics

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	Quantum Hall effect - Wikipedia, the free encyclopedia
		The integer quantization of the Hall conductance was originally predicted by Ando, Matsumoto, and Uemura in 1975, on the basis of an approximate calculation.
		The fractional effect is due to completely different physics, and was experimentally discovered in 1982 by Daniel Tsui and Horst Störmer, in experiments performed on gallium arsenide heterostructures developed by Arthur Gossard.
		Although it was generally assumed that the discrete resistivity jumps found in the Tsui experiment were due to the presence of fractional charges, it was not until 1997 that R. de-Picciotto, et.
	en.wikipedia.org /wiki/Quantum_Hall_effect (536 words)

	Quantum Hall effect
		In the Fractional Quantum Hall Effect, the quasiparticle charge is less than the electron charge.
		The fractionally charged quasiparticles were observed in 1997.
		The quantum Hall effect was also used as an independent determination of the fine structure constant in quantum electrodynamics.
	www.sciencedaily.com /encyclopedia/quantum_hall_effect (384 words)

	Fractional Paradigm in Electrodynamics
		Engheta, "On Fractional Calculus and Fractional Multipoles in Electromagnetism,"
		We have applied the concept/tools of fractional calculus in certain problems in electromagnetic theory, and have obtained interesting results that demonstrate some salient physical features and mathematical properties of these operators with applications in radiation and scattering problems.
		We have also explored fractionalization of some other operators used in electromagnetic problems and have found physical interpretations and potential applications of such "fractionalized" linear operators in electrodynamics.
	www.ee.upenn.edu /~engheta/Fractional_Paradigm_in_EM.htm (314 words)

	Travkin HSPT
		Simulation of diffusion on the basis of fractional diffusion equation was performed for investigation of anomalous transport properties in plastically deformed Al-Mg single crystals.
		On the basis of calculated fractal dimension the fractional diffusion equation was constructed and diffusion problem was numerically solved (with distribution of the given initial heterogeneous concentration of "diffusing particles" in 2D domain with periodically boundary conditions).
		The conclusion is that measures of volume fraction and uniform spatial correlation are not enough for characterization of diffusion transport properties in multiscale heterogeneous media.
	travkin-hspt.com /atom/pointlike.htm (867 words)

	Electromagnetism - Information (Site not responding. Last check: 2007-10-08)
		Electrodynamics is a (somewhat poorly-defined) subfield of electromagnetism that deals with rapidly changing electric and magnetic fields, and their effects on the motion of charged particles.
		Advances in mathematics has enabled the study of fractional electrodynamics, which deals with fractional electromagnetic multipoles, fractal antennas, and other electromagnetic phenomena acting on fractal domains or described by way of fractionalized operators.
		This is sometimes refered to as the fractional paradigm in electromagnetics.
	www.book-spot.co.uk /index.php/Electromagnetic (365 words)

	Laboratory of Nanostructure Spectroscopy
		For example, for an explanation of the Integer and Fractional Quantum Hall effect the standard methods of the many-particle theory had failed and therefore the introduction of new topological occurred to be were necessary.
		We developed in detail the non-perturbative (by the interparticle interactions) method for the calculation of the bound states in quantum systems, that employs the e -expansion near the space dimension d=2, as well as the 1/d-expansion, where d is the space dimensionality.
		The equation of state for the quasiparticles with the fractional statistics (anyons) was analyzed.
	www.isan.troitsk.ru /eng/elns.htm (6624 words)

	Journal of Technical Physics - Abstracts for vol. 44, no. 2 (2003)
		The magnet subjected to the analysis has to be virtually subdivided in some number of elementary pieces, inside of which the uniform distribution of the inherent magnetization is supposed.
		In the paper, the description of dynamics of the electromagnetic fields in dye-solvent mixture in the concept of extended phenomenological electrodynamics is presented.
		For the description of the structure of material, a phenomenological model of the multi-component body is used.
	jtp.ippt.gov.pl /abstracts/44-2.html (1249 words)

	Monopoles and fractional vortices in chiral superconductors -- Volovik 97 (6): 2431 -- Proceedings of the National ...
		Fractional flux trapped by a loop of twisted wire with tetragonal cross section.
		2b and 3 illustrate fractional vortices in the cases of d-wave and chiral p-wave superconductivity in the tetragonal
		is a fractional entropy (1/2)ln2 per layer related to the vortex.
	www.pnas.org /cgi/content/full/97/6/2431 (3270 words)

	The Tom Bearden Website
		Quaternions are a much more advanced algebra than vectors or tensors, and so electrodynamics expressed in quaternions allows a great many things to be done and seen by the modeler, than exist in the tensor and electrodynamics models.
		But this was so far ahead of the times (1865) that he himself participated in starting the reduction of his theory to vectors (and later tensors).
		There are many better algebras already available in which electrodynamics can be embedded and has been to some extent.
	www.cheniere.org /correspondence/121901a.htm (822 words)

	Max Planck Society - Kukushkin, Igor
		He developed new optical methods for measuring what is called the fractional quantum Hall effect which allow to receive a magneto-optical fingerprint (energy spectrum) of the fractional quantum Hall effect.
		Kukushkin's latest publications deal with the spin split of so-called "composite fermions", i.e., new quasi-particles which suggest attributing the fraction-number quantum Hall effect to the whole-number one, and with spin wave excitations in the field of the fractional quantum Hall effect.
		Igor Kukushkin was born in Moscow, Russia, in 1958.
	www.mpg.de /english/aboutTheSociety/aboutUs/scientificAwards/awardsOfMPS/MPResearchAward/mpfp2001/kukushkin_igor (449 words)

	Theory Group : Quantum Hall effect, Spin-excitons and Skyrmions
		We conjectured that the translational symmetry of the electron gas, at even denominator fractional occupations, is broken by formation of ''Quantum lakes'', a precursor to the Laughlin incompressible quantum liquid.
		When the fractional QHE at even-denominator filling factor was o@rved, a generalization of the Laughlin trial wave function which accounts for a spin mixing of higher Landai-i levels was made in order to explain these observations.
		The papers [3], [4] are devoted to the problem of stability of the homogeneous 2DEG in strong magnetic fields at even-denominator fractional occupations.
	www.magniel.com /group/r_qhe.html (3127 words)

	ScienceWeek (Site not responding. Last check: 2007-10-08)
		This is the electromagnetic force, described by the theory of quantum electrodynamics (QED).
		Quantum field theory is the mathematical fusion of quantum mechanics with special relativity theory, and there are essentially 2 branches: quantum electrodynamics (applicable to charged particles involved in electromagnetic interactions) and quantum chromodynamics (applicable to nuclear particles involved in strong force interactions).
		A quark is a hypothetical fundamental particle, having charges whose magnitudes are one-third or two-thirds of the electron charge, and from which the elementary particles may in theory be constructed.
	scienceweek.com /2004/sa040326-4.htm (1833 words)

	L M Zelenyii, A V Milovanov, Fractal topology and strange kinetics: from percolation theory to problems in cosmic ... (Site not responding. Last check: 2007-10-08)
		Fractal topology and strange kinetics: from percolation theory to problems in cosmic electrodynamics
		Application of nonstandard, topological methods to describe the structural properties of the turbulent state is considered and the transition to kinetic equations in fractional derivatives for describing the microscopic behavior of a medium is examined.
		A number of topical problems in modern cosmic electrodynamics, including the self-consistent fractal model of a turbulent current sheet, substorm dynamics, and the formation and dynamical evolution of large-scale magnetic fields in the solar photosphere and interplanetary space, are also discussed.
	ufn.ioc.ac.ru /archive/abstracts/abst3404.html (184 words)

	Nature 344, No. 6264 (1990)289
		The source of this surprising development is the mysterious nature of the vacuum as revealed by quantum electrodynamics.
		This effect is so small that it is far beyond the reach of present experiments, but its significance as a point of principle should not be underestimated.
		This means that there is an attractive potential between the plates, the origin of which is purely quantum electrodynamic in nature.
	www.nat.vu.nl /~scharnh/m16natur.htm (763 words)

	THE PRIMARY EFFECT OF THE GRAVITATIONAL FIELD IS A REDUTION IN THE SPEED OF LIGHT
		the fractional change in energy content is equal to the fractional change in clock rate.
		There is an exact correlation between the fractional change in light speed, the fractional change in energy, the fractional change in length, the fractional change in clock rate and the implied fractional change in mass with a change in the gravitational potential.
		Each unit of fractional decrease in the clock rate corresponds to two units of fractional decrease in the speed of light.
	www.geocities.com /davidwtalmage/quantum7.htm (3339 words)

	[No title] (Site not responding. Last check: 2007-10-08)
		If the fraction of light reflected R is close to 1 (as will be the case for our experimental setup), then F is very large.
		The wavelength of light is a fraction of a micron, so that in order to tune the size of the cavity D precisely an integral number of half wavelengths for a given wavelength of light would be pretty darn hard to do by hand!
		Since the directions of the atoms are all randomized, the light coming out of the gas in a particular direction has a spread of frequencies determined by the spread of velocities of the atoms, which is related to the temperature of the gas.
	physics.stanford.edu /phys107/optical_resonance.html (3335 words)

	Programme (Site not responding. Last check: 2007-10-08)
		New theoretical methods have been developed in order to modelize and to understand the chaotic phenomena (volume-preserving and ergodic dynamical systems, mixing and weak mixing in hyperbolic and non hyperbolic and hamiltonian dynamics, billiards, non-equilibrium statistical dynamics, fractional kinetics, coupled maps and coupled oscillators, space-time directional entropy, quantum dissipative dynamics and quantum diffusion processes etc).
		Very recent experiments on cooled atoms inside atom-optics billiards and hamiltonian chaos in cavity quantum electrodynamics have shown that spectroscopy and dynamics meet.
		The school will emphasize on the role of hamiltonian and quantum chaos in statistical mechanics and non linear physics.
	www.ccr.jussieu.fr /lptmc/Cargese/CargeseProgramme.htm (284 words)

	Emission-Absorption-Scattering (EAS) Sub-Quantum Physics
		It is done in a manner which provides an intuitive interpretation of both repulsion and "attraction" and offers a new insight into the stochasitic anisotropic nature of the electrodynamic braking action of bremsstrahlung.
		I will point out what seems to be a flaw in quantum electrodynamics, (QED) then outline a model of how electricity may work, and will do so in such a manner as to fix the flaw.
		In quantum electrodynamics it is customary to describe the electrodynamic interactions of charged particles as being brought about by the emission and absorption of momentum carrying virtual photons.
	www.ebicom.net /~rsf1/eas.htm (944 words)

	Fundamental Forces, MegForce.com: Physics, Order of the Forces, Fundamental Particle, Unifying Theory
		Notice that the particle exhibits whole electric charges for fractional periods of time rather than fractional electric charges exhibited over time.
		Fractional Electric Charges: Although a fractional electric charge has never been observed, the present theories of QCD and the Standard Model of physics propose that the fundamental electric charge exists as fractional units within quarks of 1/3 + or
		These assumptions are not possible, in part, because, not only is the electric charge conserved during all interactions, but also, in all experiments, the electric charge has only been observed as quantized or interger units (n) of the fundamental charge.
	www.2xtreme.net /~boris/forces.htm (2014 words)

	Untitled Normal Page (Site not responding. Last check: 2007-10-08)
		According to the complex-symmetrical view of PM atoms are irreducibly ambivalent, representing a complex space structure which is irreducibly ambivalent, where two immiscible symmetry groups interpermeate one another in a 'colloidal' dispersion.
		The dynamically stable equilibrium of an atom is actualised where real electrodynamics is binified (rather than unified) with imaginary chromodynamics, via an 'horizon' characterised as the weak force.
		But not individually, so that they would only carry the unit colour charge sequentially in threes, which is a way of saying that serial 'free leptons' cannot be confined simultaneously (nonlocally) in imaginary QCD symmetry space.
	www.parcellular.fsnet.co.uk /update%2010.htm (1190 words)

	FractalComs
		Increase the know-how in Fractal Electrodynamics theory and understand better the behavior of electromagnetic fields and electric currents in fractal domains, in order to acquire guidelines for the design of fractal-shaped antennas and microwave devices.
		In one hand to develop the theoretical, and software tools to better understand fractal electrodynamics, and in particular the radiation and scattering of fractal structures, and on the other hand to design, build, and assess the properties of prototypes in order to validate theory and evaluate technological limitations.
		When there is no loop, each IFS iteration increases the length and bending of the wires, and as a consequence ohmic losses and the amount of stored energy on the surrounding of the antenna increases (this means lower radiation efficiencies and higher quality factors).
	www-tsc.upc.es /fractalcoms/project3.htm (1597 words)

	Re: The Secret of Sonoluminescense
		Puthoff thought he could tap this > radiation using cavity quantum electrodynamics: > > "In cavity QED, excited atoms are passed through > Casimir-like cavities whose structure suppresses > electromagnetic cavity modes at the transition frequency > between the atom's excited and ground states.
		The result > is that the so-called "spontaneous" emission time is > lengthened considerably (for example, by factors of ten), > simply because spontaneous emission is not so spontaneous > after all, but rather is driven by vacuum fluctuations.
		The only thing that did catch my interest was the term "fractional" that THAT immediately made me think of the esteemed Dr. Mills and his fractional hydrino "P" states.
	www.mail-archive.com /vortex-l@eskimo.com/msg06767.html (285 words)

	04/29/1999 - Pennsylvania Current: Four Guggenheim fellows (Site not responding. Last check: 2007-10-08)
		Hellerstein will use the grant to further her work on women poets in Yiddish, while Katz is undertaking a project concerning the perverse logic of law and morality.
		Engheta's fellowship will assist his research into the fractional paradigm of classical electrodynamics.
		Each year the Guggenheim Foundation grants aid to individuals engaged in research in any field and creation in any area of the arts.
	www.upenn.edu /pennnews/current/1999/042999/Guggenheims.html (168 words)

	Physics 230 Course Information
		Bucher, H.-K. Lo, and J. Preskill, "Topological approach to Alice electrodynamics (1991)," On transfer of electric and magnetic Cheshire charge.
		The need for an incompressible collective state at fractional filling to explain the fractional effect.
		Cancellation of the applied magnetic flux by the statistical flux in the Chern-Simons theory, and vortices as quasiparticles with fractional charge and statistics.
	theory.caltech.edu /people/preskill/ph230 (1525 words)

	Citations: Lee and E - Jackiw (ResearchIndex) (Site not responding. Last check: 2007-10-08)
		A particularly interesting feature of these Chern Simons vortices, which make them a viable candidate for anyonlike objects, is that these carry fractional spin.
		In this paper we discuss a novel field theoretic method of computing the fractional spin which highlights the important role played by....
		In this paper we discuss a novel field theoretic method of computing the fractional spin which highlights the important role played by the constraints in the theory.
	citeseer.ist.psu.edu /context/171559/0 (787 words)

	The Reality Program: Chapter 5
		Coordinate systems were developed by Descartes as a way of imposing an artificial order on the vastness of nature to aid in mathematical analysis.
		That is, there is some unit of distance or length which can be called "1," and which admits no fractions; and, similarly, there is some unit of time which can be called "1," and which also admits no fractions.
		Although most of the foregoing is mere argument, it is compelling in its totality, and it is elegant in its power to resolve riddles both ancient and modern.
	www.bottomlayer.com /bottom/reality/chap5.html (4146 words)

	Screening of Fractional Charges in (2+1)-dimensional QED (ResearchIndex) (Site not responding. Last check: 2007-10-08)
		Abstract: We show that the logarithmically rising static potential between opposite-charged sources in two dimensions is screened by dynamical fields even if the probe charges are fractional, in units of the charge of the dynamical fields.
		The effect is due to quantum mechanics: the wave functions of the screening charges are superpositions of two bumps localized both near the opposite- and the same-charge sources, so that each of them gets exactly screened.
		10 Quantum Electrodynamics of Strong Fields (context) - Greiner, Muller et al.
	citeseer.ist.psu.edu /diakonov98screening.html (234 words)

	Philo T. Farnsworth Fusion Discussion Board (Site not responding. Last check: 2007-10-08)
		I see similarity in the fractional energy levels, but big difference in that Mills has the electron spread out as an 'orbitsphere' or surface, which helps in explaining photon-trapping in the resonant surface' cavity.
		Been a while since I read the CSS papers, but I think their photon is the resonance of a toroidal electron.
		Or perhaps those with better chemisty understanding than I could formulate some other atoms fractional spectra (the higher the Z number, the higher the energy!), and use plasma isotope seperation techniques to see if the can isolate the collapsed atoms.
	fusor.net /old-boards/songs.com/msgs/msg-1462.html (500 words)

	Walter Wyss (Site not responding. Last check: 2007-10-08)
		Professor Wyss is interested in mathematical physics, general relativity, quantum field theory, stochastic processes, disordered systems, theory of inference, functional analysis, group theory, fractal geometries, fractional diffusion.
		"Fractional Diffusion and Wave Equations", W. Wyss, W.R. Schneider, J.
		"The Fractional Black-Scholes Equation", W. Wyss, Fractional Calculus and Applied Analysis, 3, 51 (2000).
	www.colorado.edu /UCB/AcademicAffairs/ArtsSciences/physics/Web/directory/faculty/wyss_w.html (199 words)

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