- Twistors- What are they? - http://www.compsoc.net/~fedja/twistors/twistors.html
A set of notes introducing spinors and twistors.
- Dimensional Analysis - http://www.physics.uoguelph.ca/tutorials/dimanaly/
A simple review of the powerful technique of dimensional analysis.
- 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.
- Hyperreal World - http://www.sun-inet.or.jp/~leibniz/math/
Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese.
- 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.
- Celestial Mechanics Research - http://www.math.washington.edu/~hampton/research.html
Links, animations, references, and a brief description of research into n-body problems.
- Holomorphic Methods in Mathematical Physics - http://arxiv.org/abs/quant-ph/9912054
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.
- 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.
- 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.
- Euclidean Geometric Transforms for Physics - http://physicstransforms.tripod.com/
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.
- 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.
- Topology and Physics - http://arxiv.org/abs/hep-th/9709135
An essay by C. Nash on the historical connection between topology and physics.
- Radial Symmetric Fourier Transforms - http://cadcwww.dao.nrc.ca/ADASS/adass_proc/adass3/papers/birkinshawm/birkinshawm.html
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.
- 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.
- Local Quantum Physics Crossroads - http://www.lqp.uni-goettingen.de/lqp/
An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP).
- Solitons - http://physics1.usc.edu/~vongehr/solitons_html/solitons.html
An overview of the classical and quantum theory related to solitons
- The Dirac Delta Function - http://www.sci.hkbu.edu.hk/msc/full/billy/node5.html#SECTION00120000000000000000
A brief introduction to the properties and uses of the Dirac delta function.
- Solitons - http://www.ma.hw.ac.uk/solitons/
Resources at Heriot-Watt University. Meetings, local and other links.
- Twistor Web - http://users.ox.ac.uk/~tweb/
A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity. Some papers on-lin.
- 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.
- Geometry and Duality - http://online.itp.ucsb.edu/online/geom/
Lecture notes from the ITP miniprogram on Geometry and Duality
- Twistor Theory - http://www.rdegraaf.nl/index.asp?sND_ID=436182
Description of Twistor Theory
- 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.
- Differential Equations and Oscillations - http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/
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.
- Visual Mathematical Physics - http://www.isir.minsk.by/eng/educ/mathphys/
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.
- 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.
- Intrinsic Localized Modes - http://www.lassp.cornell.edu/~sievers/ilm/
Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.
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