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Encyclopaedia search for Mathematical Physics
How to link to Mathematical Physics
Mathematical Physics Categories
Mathematical Physics - Related Categories
 Science: Math: Applications - 924 sites
Science: Math: Topology - 221 sites
Mathematical Physics - Web Sites
 Commutative Hypercomplex Mathematics
A commutative algebra, function theory, and system of analysis is developed for one 4D variable (not quaternions). It is based upon a commutative group ring and extends all of the properties of the classical complex variables.
url: home.comcast.net/~cmdaven/hyprcplx.htm
Complex Geometry of Nature and General Relativity
A paper by Giampiero Esposito attempting to give a selfcontained introduction to holomorphic ideas in general relativity. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
url: arxiv.org/abs/gr-qc/9911051
Differential Equations and Oscillations
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.
url: www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/....
Dimensional Analysis
A simple review of the powerful technique of dimensional analysis.
url: www.physics.uoguelph.ca/tutorials/dimanaly/
Discrete Self-trapping Equation
A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations.
url: www.ma.hw.ac.uk/~chris/dst/
Doing Physics with Quaternions
A research effort to see how much of standard physics can be done using only quaternions, a 4dimensional division algebra.
url: world.std.com/~sweetser/quaternions/qindex/qindex.....
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 interrelationship of physics formulas.
url: physicstransforms.tripod.com/
Five Lectures on Soliton Equations
A selfcontained review by Edward Frenkel of a new approach to soliton equations of KdV type.
url: arxiv.org/abs/q-alg/9712005
Geometry and Duality
Lecture notes from the ITP miniprogram on Geometry and Duality
url: online.itp.ucsb.edu/online/geom/
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 SegalBargmann space and the canonical commutation relations.
url: arxiv.org/abs/quant-ph/9912054
Homological Methods in Mathematical Physics
These lecture notes by Joseph Krasil'shchik and Alexander Verbovetsky are a systematic and selfcontained exposition of the cohomological theories naturally related to partial differential equations.
url: arxiv.org/abs/math.DG/9808130
Hyperreal World
Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese.
url: www.sun-inet.or.jp/~leibniz/math/
Inexplicable Secrets of Creation
Relationships between number theory and physics.
url: www.secamlocal.ex.ac.uk/~mwatkins/isoc/
Intrinsic Localized Modes
Dynamics of defectfree periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.
url: www.lassp.cornell.edu/~sievers/ilm/
An Introduction to Noncommutative Geometry
A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
url: arxiv.org/abs/physics/9709045
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.
url: clifford-algebras.org
Klaus Brauer's Soliton Page
Presents a history of J.S.Russell's discovery of solitary waves, and animations of one, two and threesoliton solutions to the Kortewegde 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.
url: www.usf.uni-osnabrueck.de/~kbrauer/solitons.html
Lectures on Orientifolds and Duality
Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
url: arxiv.org/abs/hep-th/9804208
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).
url: www.lqp.uni-goettingen.de/lqp/
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 UrbanaChampaign.
url: w3.physics.uiuc.edu/~m-stone5/mma/mma.html
Non Commutative Geometry
Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics.
url: dftuz.unizar.es/~rivero/research/index.html
On the Origins of Twister Theory
A new approach pioneered by Roger Penrose, starting with conformallyinvariant concepts, to the synthesis of quantum theory and relativity.
url: users.ox.ac.uk/~tweb/00001/
Open Problems in Mathematics and Physics
Links to open problems in mathematics, physics and other subjects.
url: www.geocities.com/ednitou/
Period and energy in one degree of freedom systems
An article by Jorge Rezende, University of Lisbon. [PDF]
url: gfm.cii.fc.ul.pt/people/jrezende/jr_periodenergy1.....
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.
url: arxiv.org/abs/hep-th/9812148
Solitons
An overview of the classical and quantum theory related to solitons
url: physics1.usc.edu/~vongehr/solitons_html/solitons.h....
Solitons
Resources at HeriotWatt University. Meetings, local and other links.
url: www.ma.hw.ac.uk/solitons/
Symplectic Geometries in Quantum Physics and Optics
A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
url: arxiv.org/abs/quant-ph/9509002
This Week's Finds in Mathematical Physics
This is a column written about modern topics in mathematical physics.
url: math.ucr.edu/home/baez/TWF.html
Topology and Physics
An essay by C. Nash on the historical connection between topology and physics.
url: arxiv.org/abs/hep-th/9709135
Twistors- What are they?
A set of notes introducing spinors and twistors.
url: www.compsoc.net/~fedja/twistors/twistors.html
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