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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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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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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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An Introduction to Noncommutative Geometry - http://arxiv.org/abs/physics/9709045
A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics. |
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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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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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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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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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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 on the applications to Physics. |
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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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Non Deterministic Approaches - http://www.ndaportal.com
NDAPortal.com is a free online repository and community dealing with uncertainty and variability in applied mechanics and engineering that explains the application of probabilistic and possibilistic methods in engineering projects. |
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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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Inexplicable Secrets of Creation - http://www.secamlocal.ex.ac.uk/~mwatkins/isoc/
Relationships between number theory and physics. |
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Hyperreal World - http://www.sun-inet.or.jp/~leibniz/math/
Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese. |
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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. |