Mathematical Physics (Physics)

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Twistors- What are they? Twistors- What are they?: A set of notes introducing spinors and twistors. (Mathematical Physics) http://www.compsoc.net/~fedja/twistors/twistors.html Differential Equations and Oscillations 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. (Mathematical Physics) http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/ Visual Mathematical Physics Visual Mathematical Physics: 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. (Mathematical Physics) http://www.isir.minsk.by/eng/educ/mathphys/ Solitons Solitons: Resources at Heriot-Watt University. Meetings, local and other links. (Mathematical Physics) http://www.ma.hw.ac.uk/solitons/ Mathematical Methods I 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. (Mathematical Physics) http://w3.physics.uiuc.edu/~m-stone5/mma/mma.html Discrete Self-trapping Equation Discrete Self-trapping Equation: A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations. (Mathematical Physics) http://www.ma.hw.ac.uk/~chris/dst/ Elastic Strain Soliton Visualization Elastic Strain Soliton Visualization: Windows demonstration program download. (Mathematical Physics) http://www.csa.ru/Inst/bogd_dep/nonlin/vizual.htm Local Quantum Physics Crossroads 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). (Mathematical Physics) http://www.lqp.uni-goettingen.de/lqp/ Lectures on Orientifolds and Duality Lectures on Orientifolds and Duality: Notes by Atish Dabholkar on orientifolds emphasizing applications to duality. (Mathematical Physics) http://arxiv.org/abs/hep-th/9804208 Complex Geometry of Nature and General Relativity 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. (Mathematical Physics) http://arxiv.org/abs/gr-qc/9911051 Topology and Physics Topology and Physics: An essay by C. Nash on the historical connection between topology and physics. (Mathematical Physics) http://arxiv.org/abs/hep-th/9709135 Hyperreal World Hyperreal World: Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese. (Mathematical Physics) http://www.sun-inet.or.jp/~leibniz/math/ Five Lectures on Soliton Equations Five Lectures on Soliton Equations: A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type. (Mathematical Physics) http://arxiv.org/abs/q-alg/9712005 Holomorphic Methods in Mathematical Physics 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. (Mathematical Physics) http://arxiv.org/abs/quant-ph/9912054 Symplectic Geometries in Quantum Physics and Optics Symplectic Geometries in Quantum Physics and Optics: A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics (Mathematical Physics) http://arxiv.org/abs/quant-ph/9509002 Recent Developments in Skyrme Models 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. (Mathematical Physics) http://arxiv.org/abs/hep-th/9812148 The Dirac Delta Function The Dirac Delta Function: A brief introduction to the properties and uses of the Dirac delta function. (Mathematical Physics) http://www.sci.hkbu.edu.hk/msc/full/billy/node5.html#SECTION00120000000000000000 Homological Methods in Mathematical Physics 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. (Mathematical Physics) http://arxiv.org/abs/math.DG/9808130 Non Commutative Geometry Non Commutative Geometry: Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics. (Mathematical Physics) http://dftuz.unizar.es/~rivero/research/index.html Twistor Theory Twistor Theory: Description of Twistor Theory (Mathematical Physics) http://www.rdegraaf.nl/index.asp?sND_ID=436182 Geometry and Duality Geometry and Duality: Lecture notes from the ITP miniprogram on Geometry and Duality (Mathematical Physics) http://online.itp.ucsb.edu/online/geom/ Journal on Applied Clifford Algebra 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. (Mathematical Physics) http://clifford-algebras.org An Introduction to Noncommutative Geometry An Introduction to Noncommutative Geometry: A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics. (Mathematical Physics) http://arxiv.org/abs/physics/9709045 Dimensional Analysis Dimensional Analysis: A simple review of the powerful technique of dimensional analysis. (Mathematical Physics) http://www.physics.uoguelph.ca/tutorials/dimanaly/ Open Problems in Mathematics and Physics Open Problems in Mathematics and Physics: Links to open problems in mathematics, physics and other subjects. (Mathematical Physics) http://www.geocities.com/ednitou Twistor Web 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. (Mathematical Physics) http://users.ox.ac.uk/~tweb/ Radial Symmetric Fourier Transforms 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. (Mathematical Physics) http://cadcwww.dao.nrc.ca/ADASS/adass_proc/adass3/papers/birkinshawm/birkinshawm.html Period and energy in one degree of freedom systems Period and energy in one degree of freedom systems: An article by Jorge Rezende, University of Lisbon (PDF). (Mathematical Physics) http://gfm.cii.fc.ul.pt/Members/jr_periodenergy1.pdf Euclidean Geometric Transforms for Physics 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. (Mathematical Physics) http://physicstransforms.tripod.com/ Doing Physics with Quaternions 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. (Mathematical Physics) http://world.std.com/~sweetser/quaternions/qindex/qindex.html This Week's Finds in Mathematical Physics This Week's Finds in Mathematical Physics: This is a column written about modern topics in mathematical physics. (Mathematical Physics) http://math.ucr.edu/home/baez/TWF.html Celestial Mechanics Research Celestial Mechanics Research: Links, animations, references, and a brief description of research into n-body problems. (Mathematical Physics) http://www.math.washington.edu/~hampton/research.html Inexplicable Secrets of Creation Inexplicable Secrets of Creation: Relationships between number theory and physics. (Mathematical Physics) http://www.maths.ex.ac.uk/~mwatkins/ Clyde Davenport's Commutative Hypercomplex Mathematics Clyde Davenport's Commutative Hypercomplex Mathematics: Summary and application as it relates to electromagnetic theory and special relativity. (Mathematical Physics) http://home.usit.net/~cmdaven/cmdaven1.htm Kinetic Theory and its Applications. Kinetic Theory and its Applications.: This resource is devoted to mathematical aspects of kinetic theory and its applications in physics and chemistry. (Mathematical Physics) http://kinetic.boom.ru