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Topic: Fractional statistics

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	Identical particles (Site not responding. Last check: 2007-10-15)
		Calculations in statistical mechanics rely on probabilistic arguments, which are sensitive to whether or not the objects being studied are identical.
		Experimental evidence for the existence of anyons exists in the fractional quantum Hall effect, a phenomenon observed in the two-dimensional electron gases that form the inversion layer of MOSFETs.
		There is another type of statistic, known as braid statistics, which are associated with particles known as plektons.
	www.sciencedaily.com /encyclopedia/identical_particles (2474 words)

	FRACTIONAL STATISTICS AND ANYON SUPERCONDUCTIVITY
		The occurrence of fractional statistics has been discovered in more and more quantum field theory models, including some of the most geometrical and canonical ones.
		In a remarkable case, the fractional quantum statistics of quasiparticles in the fractional quantized Hall effect (FQHE) contributes to the understanding of states found there.
		Perhaps most exciting, although quite speculative at this moment, are recent attempts to apply fractional statistics to spin systems, and specifically to the behaviour of the 2-dimensional copper oxide layers that seem to be critical to the phenomenon of high-temperature superconductivity.
	www.worldscibooks.com /physics/0961.html (296 words)

	Fractional Statistics
		By requiring that the configuration space of identical particles be invariant under the interchange of identical particles, it is possible to determine the allowed statistics of particles essentially from an ad-hoc exclusion principle.
		It is not implausible, therefore, that rotational (angular momentum) eigenfunctions play a role in determining the statistics of identical particles.
		As was mentioned in the previous chapter, angular harmonics on the circle are not restricted to the definite even/odd parity of the spherical harmonics, giving only Bose and Fermi statistics (this follows from the doubly connectedness of the projective space): they have arbitrary parity due to the infinite connectedness of the circle.
	www.iu.hio.no /~mark/physics/thesis/node50.html (310 words)

	UCF Department of Physics
		Fractional quantum Hall effect, including edge properties, dots, and fractional statistics.
		Some understanding of fractional Hall systems can be gained by exact many-electron diagonalizations, while quantum dot studies are large-scale computational efforts.
		S.B. Isakov, G.S. Canright, and M.D. Johnson, "Exclusion statistics for fractional quantum Hall states on a sphere," Phys.
	www.physics.ucf.edu /faculty_johnson.php (524 words)

	Fractional Statistics and Quantum Theory (Site not responding. Last check: 2007-10-15)
		In the last two decades it has been realized that that whereas in three and higher space dimensions all particles must obey either bose or fermi statistics, in two space dimensions the particles can have any fractional spin and can satisfy any fractional statistics which is interpolating between the two.
		The particles obeying such statistics are generically called anyons and are said to obey anyonic fractional statistics.
		In a recent paper, we made use of the fractional exclusion statistics (FES), a la Haldane, in the context of a trapped two-dimensional interacting bose gas.
	www.physics.mcmaster.ca /~brandon/book.html (301 words)

	Fractional Statistics (Site not responding. Last check: 2007-10-15)
		The word ‘statistics’ was introduced in this context because some experimental observations were first understood in terms of certain combinatorial rules which identical particles seemed to follow for filling up the various quantum states available to them.
		Nevertheless, many physicists have wondered whether other kinds of statistics are possible on mathematical grounds, and whether some of them may be realizable (even if in a limited or approximate sense) in experimental systems.
		Whether or not anyons are eventually found to play a role in the fractional quantum Hall effect, the theoretical developments in anyonic physics have led to some general concepts which have found uses in many different areas of physics and mathematics.
	www.ias.ac.in /currsci/mar25/articles31.htm (723 words)

	ITFA - Integrability in Statistical Mechanics and Condensed Matter
		In recent years it has become clear that many of the quasi-particles essential in the description of condensed matter and statistical systems obey statistical rules that are incompatible with those of either bosons or fermions.
		Interestingly, fractional statistics is not only of importance in the quasi-particle description physical systems, but has many deep connections with problems in combinatorics and number theory.
		Some intriguing questions that seem tractable using the quasi-particle picture are that of finding higher-rank as well a fractional level Bailey lemma's, proving positivity problems related to ribbon tableaux and partition with ``fractional'' hook-differences (the Borwein conjectures) and the proof of various lattice-path results related to plane partitions.
	www.science.uva.nl /research/itf/integrability.php (974 words)

	FRACTIONAL STATISTICS AND QUANTUM THEORY
		This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory.
		The discussion is at a pedagogical level and is addressed to both graduate students and advanced researchers with a reasonable background in quantum and statistical mechanics.
		Topics in the first part of the book include the flux tube model of anyons, the braid group and a detailed discussion about the various aspects of quantum and statistical mechanics of a noninteracting anyon gas.
	www.worldscibooks.com /physics/5752.html (329 words)

	OSU Physics: Calendar of Events
		Description: Abstract: In early 1980's, fractional statistics was believed to be central to the understanding of the fractional quantum Hall effect.
		However, subsequent developments demonstrated that the phenomenology is explainable in terms of composite fermions, without any mention of fractional statistics.
		I will talk about how the fractional statistics appears in the composite fermion theory, and how this theory resolves certain puzzling theoretical results in this context.
	www.physics.ohio-state.edu /calendar/event.php3?id=907 (77 words)

	F. Duncan M. Haldane: Research Description
		Fractional Statistics: A few years ago, studies of integrable models (below) led me to formulate a description of fractional statistics based on a generalized Pauli exclusion principle, now called "exclusion statistics"; this is closely related to the "anyon" formulation.
		These models may be thought of as describing an "ideal gas with fractional statistics".
		"Fractional Statistics in Arbitrary Dimensions: A Generalization of the Pauli Principle", F. Haldane Phys.
	pupgg.princeton.edu /www/jh/research/Haldane_Duncan.htmlx (469 words)

	[No title]
		Stefan Mashkevich (Schrodinger, Inc.) The topology of two-dimensional space implies the possibility of existence of a so-called fractional statistics, which interpolates continuously between the Bose and Fermi limits.
		Particles obeying such statistics, called anyons, do effectively exist in nature: an example is the elementary excitations in the fractional quantum Hall effect.
		Then, the statistical mechanics with fractional statistics will be addressed; it will be shown how the virial expansion interpolates between those of bosons and fermions, and some observations made on the low-temperature behavior.
	academic.brooklyn.cuny.edu /physics/seminars/Mashkevich.doc (151 words)

	Fractal Cauculus Project (Site not responding. Last check: 2007-10-15)
		The Fractional Calculus Project is an interdisciplinary collaboration of mathematicians, statisticians, physicists and hydrologists to develop the theory and practical application of fractals, fractional derivatives, and heavy tailed stochastic processes.
		Fractional PDEs address shortcomings with previous methods in geophysics, but a number of important problems remain open.
		Tomasz J. Kozubowski, Department of Mathematics and Statistics, University of Nevada, Reno.
	unr.edu /homepage/mcubed/FRG.html (370 words)

	Statistics.com Courses: Introduction to Design of Experiments (Site not responding. Last check: 2007-10-15)
		Managers who are responsible for delivering products “on time” and “on budget” will also benefit from this course by learning what their employees should be doing.
		He specializes in teaching powerful statistical tools to non-statisticians; he has instructed over 1000 scientists, engineers, managers, and college students.
		Dr. Rutledge is an ASQ Certified Quality Engineer and served as President of the Colorado-Wyoming Chapter of the American Statistical Association.
	www.statistics.com /content/courses/doe/index.html (723 words)

	Oberseminar: Aktuelle Fragen der Theoretischen Physik: Talk on 02.07.2002 \| 1. Institut für Theoretische Physik \| ...
		Spinons, Holons, fractional statistics, and confinement in t-J ladders
		The ground state of the two-dimensional t-J model at appropriate hole dopings is proposed to be a novel kind of spin liquid, which I call chirality liquid.
		The liquid may be viewed as a significant generalization of the chiral spin liquid, which is a liquid in the spin degrees of freedom but effectively aligns the non-relativistic plaquet chiralities and hence breaks the discrete symmetries P and T. These symmetries are preserved in the chirality liquid.
	www.theo1.physik.uni-stuttgart.de /en/seminar/aktuell?A=46 (200 words)

	Fractional statistics: alpha to beta
		We review the problem of fractional statistics as it applies to two current areas of interest in condensed-matter physics: the fractional quantum Hall effect (FQHE), and high-temperature superconductors (HTSC).
		In the case of the former, we emphasize Haldane's recent definition (1991) of a fractional exclusion principle, and show a relation between this idea and the standard definition of fractional statistics in terms of a complex exchange phase.
		We show that a fractional exclusion principle is both appropriate and useful for the quasiparticles in the FQHE.
	stacks.iop.org /0305-4470/27/3579 (265 words)

	Boris Skoric: Quantum Hall Effect (Site not responding. Last check: 2007-10-15)
		To a theoretical physicist, the fractional effect is a mouth-watering feast of new theories, nice mathematics, exotic statistics and topology galore.
		In this way the fractional quantum Hall effect is explained as the integer effect for composite fermions.
		The term `statistics' refers to the behaviour of a wave function under exchange of identical particles.
	www.xs4all.nl /~skoric/quantum (3046 words)

	[No title] (Site not responding. Last check: 2007-10-15)
		Chiao, A. Hansen and A. Moulthrop, ``Fractional Statistics of the Vortex in Two-Dimensional Superfluids, Phys.
		A. Hansen, A. Moulthrop and R. Chiao, ``N-Dependent Fractional Statistics of N Vortices,'' Phys.
		R. Chiao, A. Hansen and A. Moulthrop, ``Response to Comment on Fractional Statistics of the Vortex in Two-Dimensional Superfluids,'' Phys.
	www.phys.ntnu.no /~alexh/publ.html (3772 words)

	Publication : T93/117
		The XXX spin chain with long range interaction is a variant of the spin half Heisenberg chain, with exchange inversely proportional to the square distance between the spins.
		It possesses the remarkable properties that its spectrum is additive and that the elementary excitations are spin half objects obeying a half-fractional statistics intermediate between bosons and fermions.
		The model is gapless; its low energy properties belong to the same universality class as the Heisenberg model, and are described by the level one su(2) WZW conformal field theory.
	www-spht.cea.fr /articles/t93/117 (185 words)

	Physics and Astronomy Colloquium Abstract (Site not responding. Last check: 2007-10-15)
		The low energy excitations of fractional quantum Hall (FQH) liquids carry fractional quantum numbers such as charge and statistics.
		In this talk, I will show in detail how the mesurement of shot noise can generally be used as a powerful tool to study the nature of the fractionally charged FQH quasiparticles.
		Recently, this tool has been succesfully used in the first transport observations of fractional charge by two experimental groups, one in Saclay and the other at the Weizmann Institute.
	physics.usc.edu /Colloquia/Abstracts/971202.html (135 words)

	Molecular systems
		Statistics of quantum transport in metal nanowires with surface disorder
		Fractional statistics and noise correlations in the FQHE
		Fractional exclusion statistics and shot noise in ballistic conductors
	www.lps.u-psud.fr /moriond01/table.html (622 words)

	School of Physics: People-->Professor: David Finkelstein
		In assembly with Clifford statistics we call a squad.
		In F. Wilczyk, Fractional Statistics and High- Temperature Superconductivity, World Scientific Press, 1990.
		B52 Baugh, J., Finkelstein, D. Saller and Z. Tang, General covariance is Bose-Einstein statistics.
	www.physics.gatech.edu /people/faculty/dfinkelstein.html (2043 words)

	Derek Bingham (Site not responding. Last check: 2007-10-15)
		Ph.D. in Statistics, Simon Fraser University, Burnaby, British Columbia, Canada.
		Statistical Society of Canada Annual Meetings, Sherbrooke, Quebec, May 1998.
		Statistical Society of Canada Annual Meetings, Regina, Saskatchewan, June 1999.
	www.math.sfu.ca /~dbingham/index_old.html (307 words)

	Amazing Science
		Arithmetic operations (Ganit) such as addition, subtraction, multiplication, fractions, squares, cubes and roots are enumerated in the Narad Vishnu Purana attributed to Ved Vyas (pre-1000 BC).
		Examples of geometric knowledge (rekha-ganit) are to be found in the Sulva-Sutras of Baudhayana (800 BC) and Apasthmaba (600 BC) which describe techniques for the construction of ritual altars in use during the Vedic era.
		Sections of the book were also devoted to arithmetic and geometric progressions, including progressions with fractional numbers or terms, and formulas for the sum of certain finite series are provided.
	www.hinduism.co.za /amazing.htm (14824 words)

	Flux Tubes
		In Wilczek's model, fractional statistics are realized in particles called `anyons' which are `flux tube' composite objects: that is, particles bound to a thin string of flux.
		In order to investigate the statistics of these composite objects, consider a pair of anyons, which for now are distinguishable, and carry charges
		These are the phase changes incurred by exchanging the particles.
	www.iu.hio.no /~mark/physics/thesis/node51.html (368 words)

	Foredrag teoretisk fysikk ved Fysisk institutt, Universitetet i Oslo
		TITTEL: "Fractional statistics of fractional Hall quasiparticles, and re-emergence
		complicated, fractional statistics for emergent particles in a condensed
		to reconstruct an electron-like excitation in the fractional Hall effect.
	www.fys.uio.no /nyheter/foredragteori/409663193831.html (119 words)

	download page (Site not responding. Last check: 2007-10-15)
		fractional charge and statistics in fractional quantum hall effect
		review of fractional charge and statistics in fractional quantum hall effect
		If you have any comments or suggestions on those handouts, or find mistakes in them, pls send me an email at dong@uga.edu.
	www.physast.uga.edu /~dong/download.html (76 words)

	Canonical Bf-Type Topological Field Theory And Fractional Statistics Of Strings - Bergeron, Semenoff, Szabo ...
		Abstract: We consider BF-type topological field theory coupled to non-dynamical particle and string sources on spacetime manifolds of the form IR 1 \Theta M 3, where M 3 is a 3-manifold without boundary.
		Bergeron, G. Semenoff, and R. abo, "Canonical BF-Type Topological Field Theory And Fractional Statistics Of Strings," MIT-CTP-2326, to be published in Nucl.
		@misc{ bergeron-canonical, author = "M. Bergeron and G. Semenoff and R. abo", title = "Canonical BF-Type Topological Field Theory And Fractional Statistics Of Strings", text = "M. Bergeron, G. Semenoff, and R. abo, Canonical BF-Type Topological Field Theory And Fractional Statistics Of Strings, MIT-CTP-2326, to be published in Nucl.
	citeseer.ist.psu.edu /bergeron94canonical.html (323 words)

	Member (Site not responding. Last check: 2007-10-15)
		Main field of research: High Energy Physics-- Phenomenology, Fractional Statistics.
		Current research interests: Solar and Atmospheric neutrino puzzles, Small-x structure functions-- spin independent and spin dependent, Anyons and fractional exchange statistics, Fractional exclusion statistics and their applications to correlated electron systems.
		I am also interested in Quantum chaos and nonlinear dynamics though this is not, at present, in my primary fields of interest.
	www.imsc.ernet.in /physweb/faculty/murthy.html (63 words)

	Paper selection
		Statistical Theory of Equations of State and Phase Transitions.
		``Fractional statistics'' in arbitrary dimensions: A generalization of the Pauli principle"
		Statistical Mechanics for a Class of Quantum Statistics
	www.fys.uio.no /~dragos/Links/Paper_selection.html (2156 words)

	Energy Citations Database (ECD) - Energy and Energy-Related Bibliographic Citations
		Energy Citations Database (ECD) Document #7271812 - Fractional statistics
		Availability information may be found in the Availability, Publisher, Research Organization, Resource Relation and/or Author (affiliation information) fields and/or via the "Full-text Availability" link.
		An important feature of the multi-anyon spectrum is addressed and the nontriviality of the nonlinear missing states seems to depend on the statistical parameter [mu] exponentially.
	www.osti.gov /energycitations/product.biblio.jsp?osti_id=7271812 (107 words)

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