Twistors- What are they?:
A set of notes introducing spinors and twistors.
http://www.compsoc.net/~fedja/twistors/twistors.html
Dimensional Analysis:
A simple review of the powerful technique of dimensional analysis.
http://www.physics.uoguelph.ca/tutorials/dimanaly/
Mathematical Methods I:
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.
http://w3.physics.uiuc.edu/~m-stone5/mma/mma.html
Hyperreal World:
Nonstandard analysis and its applications to quantum physics, by
H.Yamashita. Mixed English/Japanese.
http://www.sun-inet.or.jp/~leibniz/math/
Discrete Self-trapping Equation:
A bibliography in BibTeX format for those interested in discrete
nonlinear Schrأ¶dinger type equations.
http://www.ma.hw.ac.uk/~chris/dst/
Celestial Mechanics Research:
Links, animations, references, and a brief description of research
into n-body problems.
http://www.math.washington.edu/~hampton/research.html
Holomorphic Methods in Mathematical Physics:
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
Lectures on Orientifolds and Duality:
Notes by Atish Dabholkar on orientifolds emphasizing applications to
duality.
http://arxiv.org/abs/hep-th/9804208
Homological Methods in Mathematical Physics:
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
Recent Developments in Skyrme Models:
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
An Introduction to Noncommutative Geometry:
A set of lecture notes by Joseph C. Varilly on noncommutative
geometry and its applications in physics.
http://arxiv.org/abs/physics/9709045
Euclidean Geometric Transforms for Physics:
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.
http://physicstransforms.tripod.com/
Kinetic Theory and its Applications.:
This resource is devoted to mathematical aspects of kinetic theory
and its applications in physics and chemistry.
http://kinetic.boom.ru
Non Commutative Geometry:
Preprints of Alejandro Rivero about Connes's NCG and the Standard
Model. Also some historical articles on related topics.
http://dftuz.unizar.es/~rivero/research/index.html
Radial Symmetric Fourier Transforms:
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.
http://cadcwww.dao.nrc.ca/ADASS/adass_proc/adass3/papers/birkinshawm/birkinshawm.html
Five Lectures on Soliton Equations:
A self-contained review by Edward Frenkel of a new approach to
soliton equations of KdV type.
http://arxiv.org/abs/q-alg/9712005
Complex Geometry of Nature and General Relativity:
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
Local Quantum Physics Crossroads:
An international forum for information exchange among scientists
working on mathematical, conceptual, and constructive problems in
local relativistic quantum physics (LQP).
http://www.lqp.uni-goettingen.de/lqp/
Solitons:
An overview of the classical and quantum theory related to solitons
http://physics1.usc.edu/~vongehr/solitons_html/solitons.html
The Dirac Delta Function:
A brief introduction to the properties and uses of the Dirac delta
function.
http://www.sci.hkbu.edu.hk/msc/full/billy/node5.html#SECTION00120000000000000000
Solitons:
Resources at Heriot-Watt University. Meetings, local and other
links.
http://www.ma.hw.ac.uk/solitons/
Twistor Web:
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/
Doing Physics with Quaternions:
A research effort to see how much of standard physics can be done
using only quaternions, a 4-dimensional division algebra.
http://world.std.com/~sweetser/quaternions/qindex/qindex.html
Burger's Equation:
An overview of the simplest differential equation which allows for
shocks and other discontinuities.
http://www.math.udel.edu/~monk/Classes/m667/burgers/burgers.html
Geometry and Duality:
Lecture notes from the ITP miniprogram on Geometry and Duality
http://online.itp.ucsb.edu/online/geom/
