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A set of notes introducing spinors and twistors.
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Twistors What Are They?  Electromagnetism in spinor notation Twistors Quantisation Klein Correspondence Classical fields About this document Fedja Hadrovic Sat Jan 3 17:20:50 GMT 1998...
http://www.compsoc.net/~fedja/twistors/twistors.html

A simple review of the powerful technique of dimensional analysis.
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dimensional analysis  When doing physics problems, you'll often be required to determine the numerical value and the units of a variable in an equation. The numerical value usually isn't too difficult to get, but for a novice, the same can't be said...
http://www.physics.uoguelph.ca/tutorials/dimanaly/

This site contains the complete lecture notes and homework sets for PHYCS498MMA, a course of mathematical methods for physics given to entering graduate students, and senior undergraduates, at the University of Illinois at Urbana-Champaign.
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MATHEMATICAL METHODS I  These files are mostly in postscript ps) format or in PDF pdf) so make sure that your browser is configured to automatically process such files. If it is not, and you use Unix/Netscape, go to edit preferences Navigator Applications and...
http://w3.physics.uiuc.edu/~m-stone5/mma/mma.html

Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese.
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Hideyasu YAMASHITA's Page for Mathematics and Physics  X must be set executable to use Acrobat as a helper application of your browser Hyperreal is one of main notions in a field of mathematics, called Nonstandard Analysis.(NSA) Contents 1. NSA Informal and intuitive introduction to nonstandard analysis Formal...
http://www.sun-inet.or.jp/~leibniz/math/

A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations.
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The Discrete Self-Trapping Equation  The equation where is a complex n-vector, and M is a real symmetric matrix, is known as the Discrete Self-Trapping (DST) Equation. See J. C. Eilbeck, P. S. Lomdahl, and A. C. Scott, Physica D, 16, 318-338, 1985, for details....
http://www.ma.hw.ac.uk/~chris/dst/

Windows demonstration program download.
http://www.csa.ru/Inst/bogd_dep/nonlin/vizual.htm

Links, animations, references, and a brief description of research into n-body problems.
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Marshall Hampton Research Page  This page is still under construction. My research: Central configurations in the n-body problem My primary areas of mathematics are, broadly speaking, dynamical systems and geometry. My thesis is in the field of celestial mechanics. It is on the concave...
http://www.math.washington.edu/~hampton/research.html

This is a column written about modern topics in mathematical physics.
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TWF  This is a column on mathematical physics where I describe papers and books that I happen to find enjoyable. It appears on sci.physics.research, sci.math.research, sci.physics, and sci.math but I put it on this website to make it permanently accessible. I...
http://math.ucr.edu/home/baez/TWF.html

This set of lecture notes by Brian C. Hall gives an introduction to holomorphic function spaces as used in mathematical physics. The emphasis is on the Segal-Bargmann space and the canonical commutation relations.
http://arxiv.org/abs/quant-ph/9912054

Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
http://arxiv.org/abs/hep-th/9804208

These lecture notes by Joseph Krasil'shchik and Alexander Verbovetsky are a systematic and self-contained exposition of the cohomological theories naturally related to partial differential equations.
http://arxiv.org/abs/math.DG/9808130

An introduction by T. Gisiger and M.B. Paranjape to recent, more mathematical developments in the Skyrme model. The aim is to render these advances accessible to mainstream nuclear and particle physicists.
http://arxiv.org/abs/hep-th/9812148

A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
http://arxiv.org/abs/physics/9709045

A new method of correlating physics formulas to derive one formula from a related formula using Euclidean geometry to represent the inter-relationship of physics formulas.
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Physics with Transforms by Rodolfo Padilla  Search: Lycos Tripod Wallace Gromit Share This Page Report Abuse Edit your Site Browse Sites 171; Previous Top 100 Next 187; Physics with Transforms by Rodolfo Padilla Home Table of Contents Explanation the Transform Physics with Transforms side 1 Physics...
http://physicstransforms.tripod.com/

Links to open problems in mathematics, physics and other subjects.
http://www.geocities.com/ednitou

Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics.
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 The numbers refer mostly to www.arxiv.org, from where you can get .dvi ps or .tex versions. If you want to do some private comment, or to request information, please send first a blank message to rivero@dftuz.unizar.es. Also, using javascript, you...
http://dftuz.unizar.es/~rivero/research/index.html

A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
http://arxiv.org/abs/quant-ph/9509002

An essay by C. Nash on the historical connection between topology and physics.
http://arxiv.org/abs/hep-th/9709135

An article by Jorge Rezende, University of Lisbon (PDF).
http://gfm.cii.fc.ul.pt/Members/jr_periodenergy1.pdf

Fourier transforms of radially-symmetric functions can be performed efficiently using the Hankel transform of order zero. Illustrations of the method are presented, and of the Gibbs' phenomenon.
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Radially Symmetric Fourier Transforms  Fourier transforms of radially-symmetric functions can be performed efficiently using the Hankel transform of order zero. Convolutions of radially-symmetric functions can also be performed simply. Illustrations of the method are presented, and the Gibbs phenomenon associated with the ROSAT PSPC...
http://cadcwww.dao.nrc.ca/ADASS/...ers/birkinshawm/birkinshawm.html

A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
http://arxiv.org/abs/q-alg/9712005

A paper by Giampiero Esposito attempting to give a self-contained introduction to holomorphic ideas in general relativity. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
http://arxiv.org/abs/gr-qc/9911051

An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP).
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Local Quantum Physics Crossroads  Crossroads is an international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP Aims 30-Jan-04 People 24-Oct-05 Papers (submission simplified) 20-Oct-05 Bibliography 9-May-05 Events 26-Oct-05 Jobs 4-Aug-05 Links 6-Jul-05...
http://www.lqp.uni-goettingen.de/lqp/

An overview of the classical and quantum theory related to solitons
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Physics Essays Contents  Click to download Solitons as .pdf file Linked to at: The Net Advance of Physics Altair 7 Communications Université Paris 7 Denis-Diderot...
http://physics1.usc.edu/~vongehr/solitons_html/solitons.html

A brief introduction to the properties and uses of the Dirac delta function.
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Dirac delta function  In physics and engineering, we inevitably deal with the notion of point actions that is, actions which are highly localized in space and /or time. These include point forces and couples in solid mechanics, impulsive forces in rigid body dynamics,...
http://www.sci.hkbu.edu.hk/msc/f...html#SECTION00120000000000000000

Summary and application as it relates to electromagnetic theory and special relativity.
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Clyde Davenport's Home Page  If your browser does not log on automatically, Please click here for the frameless version of this Web site....
http://home.usit.net/~cmdaven/cmdaven1.htm

Resources at Heriot-Watt University. Meetings, local and other links.
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Solitons Home Page  A list of papers on experimental studies of solitons in water, kindly supplied by Jerry Bona. Future Soliton and soliton-related conferences Workshop Nonlinear Physics. Theory and Experiment. IV, Gallipoli (Lecce Italy, June 22 to July 1, 2004. Algebraic Theory of...
http://www.ma.hw.ac.uk/solitons/

A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity. Some papers on-lin.
http://users.ox.ac.uk/~tweb/

A research effort to see how much of standard physics can be done using only quaternions, a 4-dimensional division algebra.
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Doing Physics with Quaternions  A one page summary of my unified field model for gravity and EM is available here: pdf A technically detailed Mathematica notebook starts from the Lagrange density for unifying gravity and EM, and gets to two experimental tests that can...
http://world.std.com/~sweetser/quaternions/qindex/qindex.html

Lecture notes from the ITP miniprogram on Geometry and Duality
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ITP Miniprogram on Geometry and Duality  P directory talks visit info help other UCSB Oct 26, 2005 INSTITUTE FOR THEORETICAL PHYSICS Miniprogram on Geometry and Duality January 12 30, 1998 Coordinators: D. Morrison, I. Singer, E. Witten SCHEDULE (REVISED 1/13/98) All sessions for the week of...
http://online.itp.ucsb.edu/online/geom/

Description of Twistor Theory
http://www.rdegraaf.nl/index.asp?sND_ID=436182

Journal devoted to the development of Geometric Analysis in particular through the use of Clifford Algebras, Quaternions, Hypercomplex Analysis and Multivector Techniques. Main emphasis en the applications to Physics.
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Clifford Algebras, Advances in applied clifford algebras  Esta pgina usa marcos, pero su explorador no los admite....
http://clifford-algebras.org

Many problems in physics are described by differential equations. As a complete discussion of differential equations is beyond the scope of this chapter we will deal only with linear first and second order ordinary differential equations.
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DIFFERENTIAL EQUATIONS AND OSCILLATIONS  Many problems in physics are described by differential equations. This is due in part to the basic laws of nature (like Newton's second and Schrödinger equation) being differential in form, The differential nature of these physical laws in turn may...
http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/

Collection of animated gif pictures describing the solutions of the main partial differential equations such as Laplace, Poisson, string and membrane oscillations and heat conduction.
http://www.isir.minsk.by/eng/educ/mathphys/

Presents a history of J.S.Russell's discovery of solitary waves, and animations of one-, two- and three-soliton solutions to the Korteweg-de Vries equation. Includes an article in PDF format on finding exact solutions to the KdV equation using the method of Backlund transform with the help of Mathematica.
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USF+AppSysSc: Klaus Brauer's SOLITON Page  One of the most exciting phenomena in dealing with non-linear Partial Differential Equations are the Solitons, i.e. solitary waves. The first person reporting these phenomena was the Scottish engineer John Scott Russel, who described the propagation of a wave in...
http://www.usf.uni-osnabrueck.de/~kbrauer/solitons.html

Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.
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Intrinsic Localized Modes  Last Updated: November 28, 2000. 1997 FIR Group, LASSP, Cornell University...
http://www.lassp.cornell.edu/~sievers/ilm/