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Mathematical Physics (219)

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http://arxiv.org/abs/physics/9709045
An Introduction to Noncommutative Geometry Open in a new browser window
   A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
   http://arxiv.org/abs/physics/9709045
http://arxiv.org/abs/gr-qc/9911051
Complex Geometry of Nature and General Relativity Open in a new browser window
   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
http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/
Differential Equations and Oscillations Open in a new browser window
   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.
   http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/
http://www.physics.uoguelph.ca/tutorials/dimanaly/
Dimensional Analysis Open in a new browser window
   A simple review of the powerful technique of dimensional analysis.
   http://www.physics.uoguelph.ca/tutorials/dimanaly/
http://www.ma.hw.ac.uk/~chris/dst/
Discrete Self-trapping Equation Open in a new browser window
   A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations.
   http://www.ma.hw.ac.uk/~chris/dst/
http://world.std.com/~sweetser/quaternions/qindex/qindex.html
Doing Physics with Quaternions Open in a new browser window
   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
http://arxiv.org/abs/q-alg/9712005
Five Lectures on Soliton Equations Open in a new browser window
   A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
   http://arxiv.org/abs/q-alg/9712005
http://online.itp.ucsb.edu/online/geom/
Geometry and Duality Open in a new browser window
   Lecture notes from the ITP miniprogram on Geometry and Duality
   http://online.itp.ucsb.edu/online/geom/
http://arxiv.org/abs/quant-ph/9912054
Holomorphic Methods in Mathematical Physics Open in a new browser window
   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
http://arxiv.org/abs/math.DG/9808130
Homological Methods in Mathematical Physics Open in a new browser window
   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
http://www.sun-inet.or.jp/~leibniz/math/
Hyperreal World Open in a new browser window
   Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese.
   http://www.sun-inet.or.jp/~leibniz/math/
http://www.maths.ex.ac.uk/~mwatkins/isoc/
Inexplicable Secrets of Creation Open in a new browser window
   Relationships between number theory and physics.
   http://www.maths.ex.ac.uk/~mwatkins/isoc/
http://www.lassp.cornell.edu/~sievers/ilm/
Intrinsic Localized Modes Open in a new browser window
   Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.
   http://www.lassp.cornell.edu/~sievers/ilm/
http://clifford-algebras.org
Journal on Applied Clifford Algebra Open in a new browser window
   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
http://www.usf.uni-osnabrueck.de/~kbrauer/solitons.html
Klaus Brauer's Soliton Page Open in a new browser window
   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
   http://www.usf.uni-osnabrueck.de/~kbrauer/solitons.html
http://arxiv.org/abs/hep-th/9804208
Lectures on Orientifolds and Duality Open in a new browser window
   Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
   http://arxiv.org/abs/hep-th/9804208
http://www.lqp.uni-goettingen.de/lqp/
Local Quantum Physics Crossroads Open in a new browser window
   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/
http://w3.physics.uiuc.edu/~m-stone5/mma/mma.html
Mathematical Methods I Open in a new browser window
   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
http://dftuz.unizar.es/~rivero/research/index.html
Non Commutative Geometry Open in a new browser window
   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
http://users.ox.ac.uk/~tweb/00001/
On the Origins of Twister Theory Open in a new browser window
   A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity.
   http://users.ox.ac.uk/~tweb/00001/
http://gfm.cii.fc.ul.pt/Members/jr_periodenergy1.pdf
Period and energy in one degree of freedom systems Open in a new browser window
   An article by Jorge Rezende, University of Lisbon (PDF).
   http://gfm.cii.fc.ul.pt/Members/jr_periodenergy1.pdf
http://arxiv.org/abs/hep-th/9812148
Recent Developments in Skyrme Models Open in a new browser window
   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
http://www.ma.hw.ac.uk/solitons/
Solitons Open in a new browser window
   Resources at Heriot-Watt University. Meetings, local and other links.
   http://www.ma.hw.ac.uk/solitons/
http://arxiv.org/abs/quant-ph/9509002
Symplectic Geometries in Quantum Physics and Optics Open in a new browser window
   A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
   http://arxiv.org/abs/quant-ph/9509002
http://www.sci.hkbu.edu.hk/msc/full/billy/node5.html#SECTION00120000000000000000
The Dirac Delta Function Open in a new browser window
   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
http://math.ucr.edu/home/baez/TWF.html
This Week's Finds in Mathematical Physics Open in a new browser window
   This is a column written about modern topics in mathematical physics.
   http://math.ucr.edu/home/baez/TWF.html
http://arxiv.org/abs/hep-th/9709135
Topology and Physics Open in a new browser window
   An essay by C. Nash on the historical connection between topology and physics.
   http://arxiv.org/abs/hep-th/9709135
http://www.compsoc.net/~fedja/twistors/twistors.html
Twistors- What are they? Open in a new browser window
   A set of notes introducing spinors and twistors.
   http://www.compsoc.net/~fedja/twistors/twistors.html

Last Updated: 2007-08-12 19:18:24