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Discrete Self-trapping Equation - http://www.ma.hw.ac.uk/~chris/dst/
A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations. |
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Period and energy in one degree of freedom systems - http://gfm.cii.fc.ul.pt/people/jrezende/jr_periodenergy1.pdf
An article by Jorge Rezende, University of Lisbon. |
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Doing Physics with Quaternions - http://world.std.com/~sweetser/quaternions/qindex/qindex.html
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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Mathematical Methods I - http://w3.physics.uiuc.edu/~m-stone5/mma/mma.html
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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Journal on Applied Clifford Algebra - http://clifford-algebras.org
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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Complex Geometry of Nature and General Relativity - http://arxiv.org/abs/gr-qc/9911051
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. |
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Open Problems in Mathematics and Physics - http://www.geocities.com/ednitou/
Links to open problems in mathematics, physics and other subjects. |
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Symplectic Geometries in Quantum Physics and Optics - http://arxiv.org/abs/quant-ph/9509002
A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics |
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Klaus Brauer's Soliton Page - http://www.usf.uni-osnabrueck.de/~kbrauer/solitons.html
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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On the Origins of Twister Theory - http://users.ox.ac.uk/~tweb/00001/
A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity. |
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Recent Developments in Skyrme Models - http://arxiv.org/abs/hep-th/9812148
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. |
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Homological Methods in Mathematical Physics - http://arxiv.org/abs/math.DG/9808130
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. |
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Twistors- What are they? - http://www.compsoc.net/~fedja/twistors/twistors.html
A set of notes introducing spinors and twistors. |
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Commutative Hypercomplex Mathematics - http://home.comcast.net/~cmdaven/hyprcplx.htm
A commutative algebra, function theory, and system of analysis is developed for one 4-D variable (not quaternions). It is based upon a commutative group ring and extends all of the properties of the classical complex variables. |
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Non Commutative Geometry - http://dftuz.unizar.es/~rivero/research/index.html
Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics. |