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	Hpcool -> Gevangen ziel
		Angelique was eigenlijk Anyons tante maar ze was zelf nog maar 13 en achtte zichzelf veel te jong om tante genoemd te worden.
		Anyon was enthousiast zijn verhaal aan het vertellen en zijn ouders luisterden aandachtig en konden niet trotser zijn.
		Straks zou hij wel een ander aandoen maar nu nog was het een herinnering aan wat gisteren gebeurd was.
	s3.invisionfree.com /HPcool/index.php?showtopic=49&view=getlastpost (3551 words)

	Superfluidity of Lattice Anyons (Site not responding. Last check: 2007-10-08)
		Anyons on the square, triangular, and Kagomé lattices are studied using mean-field theory and numerical diagonalization.
		Anyons are particles obeying fractional statistics, with statistics parameter \nu.
		Using finite-size scaling, the lattice anyons are tested for flux quantization, a signature of superfluidity.
	flux.aps.org /meetings/BAPSMAR95/abs/SE1205.html (113 words)

	Hpcool -> Gevangen ziel
		Anyon schudde zijn hoofd, hij had het vast en zeker allemaal gedroomd.
		Anyon haastte zich de trap op en trok snel een ander hemd aan, kamde zijn wilde haren wat en snelde terug naar de eetkamer.
		Zijn gezicht verraadde dat hij Anyon helemaal niet begreep.
	s3.invisionfree.com /HPcool/index.php?showtopic=49&view=getnewpost (3551 words)

	Knotty Calculations: Science News Online, Feb. 22, 2003
		If you slide a bunch of pennies around on a table along paths that return the pennies to their original spots at the end, then after the motion is over there is no way to tell what paths the pennies followed (unless you have a very dusty table).
		Anyons come in a variety of types, and if two different anyons bump into each other, they either annihilate each other or fuse into a single particle.
		When anyons move around each other along braided paths, the motion changes the pattern of the anyons' interactions with each other—a change physicists call a unitary transformation.
	www.sciencenews.org /20030222/bob11.asp (2583 words)

	Anyons and Braids
		These days condensed matter theorists delight in the odd processes that occur in these contexts, and it was only a matter of time before someone noted that one can, at least in principle, arrange to get particles that are neither bosons or fermions.
		Wilczek is generally credited with taking the idea of these ``anyons'' seriously, though it had occured to others earlier.
		Now anyons have a lot to do with braids because, as you may have noticed, I have covertly stopped thinking of the the operation of interchanging identical particles as an abstract ``switching'' -- modelled by the symmetric group -- and started thinking of it as moving one particle around another.
	math.ucr.edu /home/baez/braids/node2.html (1383 words)

	Jens Karl Heinz Mund, PhDThesis, FU Berlin
		For anyons it is shown that the Bisognano-Wichmann property of the observable algebra lifts, in a `twisted´ version, to the field algebra.
		The structure of the Hilbert space of scattering states of plektons and anyons is further clarified.
		In the case of anyons, the fusion rules are trivial and the relevant representations of the braid group are classified by a finite set of complex numbers, namely the statistics parameters of the particles under consideration.
	www.diss.fu-berlin.de /1999/7/indexe.html (483 words)

	FoP PhD theses
		The problem of anyons interacting with a magnetic field on a torus is solved when the particles occupy the lowest Landau level.
		The homogenous Hartree-Fock solutions for anyons in a magnetic field is given and compared to the exact groundstate in a case where this is known.
		The question of how to put anyons on more complicated surfaces is addressed and anyons on the cylinder are studied in some detail, providing the generic form of the anyonic wave function as well as a relation to a one-dimesional bose system.
	www.fop.physto.se /theses/phdavh/phdavh.html (636 words)

	Exactly-solvable problems for two-dimensional excitons (Site not responding. Last check: 2007-10-08)
		An anyon exciton consisting of a valence hole and several anyons may be created as long as the hole is sufficiently far away from the electron layer to avoid destroying the quantum liquid.
		We have recently generalised the model of an anyon exciton [9-14] to consider an exciton consisting of a hole and an arbitrary number of anyons [33,34,37].
		The Figure shows the electron density distribution in a four-particle anyon exciton [14] for different values of the exciton in-plane momentum and with electron-hole plane separation, h, equal to three magnetic lengths.
	newton.ex.ac.uk /research/qsystems/portnoi/exitons.html (569 words)

	TheSpaceSite.com Forum -> quantum computing (Site not responding. Last check: 2007-10-08)
		Actually, it isn't strictly a particle: anyons are blobs of subatomic particles that behave as if they were a single particle, and have one-third the electrical charge of the electron.
		To perform a computation, you arrange the anyons in a row and then literally grab pairs of particles and swap their positions to create a braid in their space-time world lines (see Diagram).
		The signature of anyons was first seen in 1982 at Bell Labs in New Jersey, when researchers were studying the "quantum Hall effect".
	www.thespacesite.com /community/index.php?showtopic=1025&view=getnewpost (4781 words)

	Citebase - Free Relativistic Anyons with Canonical Spin Algebra
		A model-independent formulation of anyons as spinning particles is presented.
		Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics.
		Lagrangian and Hamiltonian formulations of a free spinning particle in 2+1-dimensions or {\it anyon} are established, following closely the analysis of Hanson and Regge.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:hep-th/9411116 (1036 words)

	Topological Quantum Computer (Site not responding. Last check: 2007-10-08)
		But in a way anyons are still closer to fermions, because a fermion-like repulsion exists between them, for example the trajectories of two anyons cannot cross.
		What makes anyons very unusual though is that this fermion-like interaction depends on how they move with respect to each other.
		Individual anyons are then moved between the anti-dots in a way that allows for controlled braiding.
	beige.ucs.indiana.edu /B679/node23.html (358 words)

	Amazon.com: Books: Anyons: Quantum Mechanics of Particles With Fractional Statistics (Lecture Notes in Physics New ... (Site not responding. Last check: 2007-10-08)
		In recent years it has emerged that these so-called anyons have rather unexpected applications, such as the fractional Hall effect, anyonic excitations in films of liquid helium, and high-temrperature superconductivity.
		This book is a systematic and pedagogical introduction that considers the subject of anyons from many different points of view.
		In particular, the author presents the relation of anyons to braid groups and Chern-Simons field theory and devotes three chapters to physical applications.
	www.amazon.com /exec/obidos/tg/detail/-/0387561056?v=glance (386 words)

	Anyon (Site not responding. Last check: 2007-10-08)
		In mathematics and physics, an anyon is a type of projective representation of a Lie group.
		In two-dimensional systems, however, quasiparticles are observed whose quantum states range continuously between fermionic and bosonic, taking on any quantum value in between.
		Frank Wilczek coined the term "anyons" in 1982 to describe such particles.
	www.worldhistory.com /wiki/A/Anyon.htm (267 words)

	Anyons In Electromagnetic Field And The BMT Equation (ResearchIndex) (Site not responding. Last check: 2007-10-08)
		Anyons In Electromagnetic Field And The BMT Equation
		Abstract: The Lagrangian model for anyon, presented in [6], is extended to include interactions with external, homogeneous electromagnetic field.
		Explicit electric and magnetic moment terms for the anyon are introduced in the Lagrangian.
	citeseer.lcs.mit.edu /2010.html (283 words)

	Mochon, Carlos (2005-05-09) From non-abelian anyons to quantum computation to coin-flipping by telephone. ...
		In order for such quantum protocols to be viable, though, a number of practical obstacles involving the communication and processing of quantum information must be resolved.
		In the second half of this thesis, a scheme for processing quantum information is presented, which uses non-abelian anyons that are the magnetic and electric excitations of a discrete-group quantum gauge theory.
		Anyon based computation has the advantage of being topological, which exponentially suppresses the rate of decoherence and the errors associated with the elementary quantum gates.
	etd.caltech.edu /etd/available/etd-05112005-132038 (384 words)

	[No title] (Site not responding. Last check: 2007-10-08)
		In particular, three is a class of two-dimensional systems that carry anyons -- quasiparticles with unusual statistics.
		With two non-Abelian anyons trapped in potential wells far apart from each other, one obtains a system with several quantum states.
		There is virtually no way to change one state to another or to tell them apart until the anyons are brought together and fuse.
	www.pma.caltech.edu /PhysColl/abstracts/04-05/Kitaev05.html (172 words)

	Fractional Statistics and Quantum Theory (Site not responding. Last check: 2007-10-08)
		The particles obeying such statistics are generically called anyons and are said to obey anyonic fractional statistics.
		In other words, if one takes one anyon slowly around the other, then in general the phase aquired is X. If X=0 (1) then the particles are bosons (fermions), while for X=(0,1), the particles are termed anyons.
		Simply stated, anyons are particles whose many particle wave functons pick up a phase of X under the exchange of the position of any two anyons.
	www.physics.mcmaster.ca /~brandon/book.html (301 words)

	Part II Literature Reviews (Site not responding. Last check: 2007-10-08)
		Abstract: Theory permits the quantum mechanical exchange statistics of identical particles that are constrained to move only in 2 spatial dimensions to differ from the usual cases of "Bose" and "Fermi" statistics.
		Instead of behaving as simple bosons or fermions, particles in 2 dimensions can behave as "anyons" or "non-abelions".
		anyon and non-abelian exchange statistics, and the prospects for their experimental observation.
	www.tcm.phy.cam.ac.uk /~nrc25/litrev.html (404 words)

	Abstract (Site not responding. Last check: 2007-10-08)
		We show by construction that such a localization structure exists also in the case of massive anyons in d=2+1, i.e.
		The construction is completely intrinsic to the corresponding ray representation of the (proper orthochronous) Poincare group.
		Our result is of particular interest since there are no free fields for anyons, which would fix a localization structure in a straightforward way.
	www.lqp.uni-goettingen.de /papers/02/09/02091900.html (207 words)

	Anyons and coins: Publications by Carlos Mochon
		Most of my research thus far has focused on the areas of quantum computation with non-abelian anyons and quantum protocols for coin-flipping by telephone.
		How I managed to relate quantum computation with non-abelian anyons to coin-flipping by telephone remains a source of wonder to me. A priori most people wouldn't think that high-energy particle physics would have applications to online gambling.
		In the anyon model I use, which involves electric and magnetic charges, the charges of the particles will change when one particle goes around another even if they are arbitrarily far apart.
	lightlike.com /~carlosm/publ (1048 words)

	ICTP Preprints Abstract List (Site not responding. Last check: 2007-10-08)
		Therefore, the particular version of fractional supersymmetry is constructed on the two-dimensional lattice by associating two generalized anyons of different kinds.
		Thus, the fractional supersymetry (FSUSY) and the associated FSUSY Hamiltonian basing on the quonic anyons are recalled.
		Its particular case for bosonic anyon and fermionic anyon is given.
	www.ictp.trieste.it /ictp/preprints/2000LIST_12.html (1525 words)

	Re: Unitarity for Anyons
		> > The simplest are the so-called "anyons".
		When you move one > anyon 360 degrees around another, say clockwise, the system > picks up a phase of q, where q is ANY complex number with q
		Bosons are implemented using the usual tensors (including scalars), fermions using spinors and the like, what describes the anyons?
	www.lns.cornell.edu /spr/2000-04/msg0024292.html (413 words)

	Science Articles \|\| Science Blog Community
		Unlike electrons, which each have a single negative charge, or protons, which have a single positive charge, anyons can have a charge that is a fraction of a whole number.
		This is something never before seen in physics - and since charge is a quantum property that obeys quantum laws, just what you neet to represent a qubit or the fundamental piece of information in a quantum computer.
		As more and more anyons are added to a system, their motions among one another take on the pattern of a braid or fiber in a knot.
	www.sciscoop.com /story/2003/2/26/112214/234 (1500 words)

	A Coherent State Path Integral for Anyons (ResearchIndex) (Site not responding. Last check: 2007-10-08)
		Abstract: We derive an su(1; 1) coherent state path integral formula for a system of two one-dimensional anyons in a harmonic potential.
		By a change of variables we transform this integral into a coherent states path integral for a harmonic oscillator with a shifted energy.
		The shift is the same as the one obtained for anyons by other methods.
	citeseer.ist.psu.edu /grundberg94coherent.html (257 words)

	Anyons in generalized Luttinger liquid models
		First, we show that this behavior is caused by the existence of anyonic excitations (i.e.
		is an arbitrary real number, these anyons may therefore carry an irrational charge.
		Next, in view of this result we revisit the general classification of non-Fermi-liquid two-species gapless 1D models: while it is usually thought that
	www.edpsciences.org /articles/epl/abs/2000/14/6163/6163.html (168 words)

	Two-Particle Scattering Theory for Anyons (ResearchIndex) (Site not responding. Last check: 2007-10-08)
		Abstract: We consider potential scattering theory of a nonrelativistic quantum mechanical 2-particle system in Randsup2; with anyon statistics.
		Sufficient conditions are given which guarantee the existence of Mandoslash;ller operators and the unitarity of the S-matrix.
		1 Statistical mechanics of anyons (context) - Arovas, Schrie et al.
	citeseer.csail.mit.edu /63956.html (793 words)

	Information Headquarters: Identical particles
		Fermions, Bosons, Anyons and Plektons In the above discussion, we did not prove that total symmetric or antisymmetric states are the only way to satisfy exchange symmetry.
		However, it is an empirical fact that particles in Nature have quantum states that are either totally symmetric or totally antisymmetric, with a single minor exception that will be discussed later.
		(We do not consider anyons.) Suppose we have a composite system consisting of two particles, A and B. Each particle can exist in two possible states, labelled 0> and 1>, which have the same energy.
	www.informationheadquarters.com /Albert_Einstein/Identical_particles.shtml (1488 words)

	John Preskill (Caltech), Topological quantum computing for beginners
		A two-dimensional medium that supports abelian anyons has a topological degeneracy that can exploited for robust storage of quantum information.
		A system of n nonabelian anyons in two-dimensions has an exponentially large topologically protected Hilbert space, and quantum information can be processed by braiding the anyons.
		I will discuss in detail two cases where nonabelian anyons can simulate a quantum circuit efficiently: fluxons in a "nonabelian superconductor," and "Fibonacci anyons" with especially simple fusion rules.
	online.itp.ucsb.edu /online/exotic_c04/preskill (155 words)

	Identical particles -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-08)
		These exotic particles are known as (Click link for more info and facts about anyons) anyons, and they obey fractional statistics.
		Experimental evidence for the existence of anyons exists in the (Click link for more info and facts about fractional quantum Hall effect) fractional quantum Hall effect, a phenomenon observed in the two-dimensional electron gases that form the inversion layer of (Click link for more info and facts about MOSFET) MOSFETs.
		There is another type of statistic, known as (Click link for more info and facts about braid statistics) braid statistics, which are associated with particles known as (Click link for more info and facts about plekton) plektons.
	www.absoluteastronomy.com /encyclopedia/i/id/identical_particles.htm (2906 words)

	Citebase - Anyons and Quantum Groups
		Within a group-theoretical approach to the description of (2+1)-dimensional anyons, the minimal covariant set of linear differential equations is constructed for the fractional spin fields with the help of the deformed Heisenberg algebra (DHA), [a
		We discuss the connection between anyons (particles with fractional statistics) and deformed Lie algebras (quantum groups).
		After a brief review of the main properties of anyons, we present the details of the anyonic realization of all deformed classical Lie algebras in terms of anyonic oscillator...
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:hep-th/9301100 (1092 words)

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