| Directory > Science > Physics > Mathematical Physics Journal on Applied Clifford Algebra
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.
http://clifford-algebras.org
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Twistor Theory
Description of Twistor Theory
http://www.rdegraaf.nl/index.asp?sND_ID=436182
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Geometry and Duality
Lecture notes from the ITP miniprogram on Geometry and Duality
http://online.itp.ucsb.edu/online/geom/
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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
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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
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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/
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Solitons
Resources at Heriot-Watt University. Meetings, local and other links.
http://www.ma.hw.ac.uk/solitons/
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Clyde Davenport's Commutative Hypercomplex Mathematics
Summary and application as it relates to electromagnetic theory and special relativity.
http://home.usit.net/~cmdaven/cmdaven1.htm
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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
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Solitons
An overview of the classical and quantum theory related to solitons
http://physics1.usc.edu/~vongehr/solitons_html/solitons.html
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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/
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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
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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
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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
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Period and energy in one degree of freedom systems
An article by Jorge Rezende, University of Lisbon (PDF).
http://gfm.cii.fc.ul.pt/Members/jr_periodenergy1.pdf
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Topology and Physics
An essay by C. Nash on the historical connection between topology and physics.
http://arxiv.org/abs/hep-th/9709135
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Symplectic Geometries in Quantum Physics and Optics
A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and
optics
http://arxiv.org/abs/quant-ph/9509002
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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
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Inexplicable Secrets of Creation
Relationships between number theory and physics.
http://www.maths.ex.ac.uk/~mwatkins/
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Open Problems in Mathematics and Physics
Links to open problems in mathematics, physics and other subjects.
http://www.geocities.com/ednitou
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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
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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/
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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
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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
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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
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Lectures on Orientifolds and Duality
Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
http://arxiv.org/abs/hep-th/9804208
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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
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This Week's Finds in Mathematical Physics
This is a column written about modern topics in mathematical physics.
http://math.ucr.edu/home/baez/TWF.html
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Celestial Mechanics Research
Links, animations, references, and a brief description of research into n-body problems.
http://www.math.washington.edu/~hampton/research.html
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Elastic Strain Soliton Visualization
Windows demonstration program download.
http://www.csa.ru/Inst/bogd_dep/nonlin/vizual.htm
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Discrete Self-trapping Equation
A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type
equations.
http://www.ma.hw.ac.uk/~chris/dst/
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Hyperreal World
Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed
English/Japanese.
http://www.sun-inet.or.jp/~leibniz/math/
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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
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Dimensional Analysis
A simple review of the powerful technique of dimensional analysis.
http://www.physics.uoguelph.ca/tutorials/dimanaly/
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Twistors- What are they?
A set of notes introducing spinors and twistors.
http://www.compsoc.net/~fedja/twistors/twistors.html
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