Home> Science> Physics> Mathematical Physics
Sites which focus application of advanced mathematical topics in physical systems.
http://www.maths.ed.ac.uk/NBMPS/
Four seminars are held in rotation every year.
http://arxiv.org/abs/physics/9709045
A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
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.
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.
http://www.physics.uoguelph.ca/tutorials/dimanaly/
A simple review of the powerful technique of dimensional analysis.
http://world.std.com/~sweetser/quaternions/qindex/qindex.html
A research effort to see how much of standard physics can be done using only quaternions, a 4-dimensional division algebra.
http://physicstransforms.tripod.com/
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://arxiv.org/abs/q-alg/9712005
A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
http://online.itp.ucsb.edu/online/geom/
Lecture notes from the ITP miniprogram on Geometry and Duality
http://arxiv.org/abs/quant-ph/9912054
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/math.DG/9808130
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://www.secamlocal.ex.ac.uk/~mwatkins/isoc/
Relationships between number theory and physics.
http://arxiv.org/abs/hep-th/9804208
Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
http://www.lqp.uni-goettingen.de/lqp/
An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP).
http://www1.uprh.edu/rbaretti/
Numerical codes are provided for a variety of problems. From the University of Puerto Rico at Humacao.
http://www.spaceandmotion.com/mathematical-physics/logic-truth-reality.htm
How mathematics exists in the universe and is related to physical reality.
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.
http://www.openproblems.net/
Links to open problems in mathematics, physics and other subjects.
http://gfm.cii.fc.ul.pt/people/jrezende/jr_periodenergy1.pdf
An article by Jorge Rezende, University of Lisbon.
http://arxiv.org/abs/hep-th/9812148
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://www.ma.hw.ac.uk/solitons/
Resources at Heriot-Watt University. Meetings, local and other links.
http://arxiv.org/abs/quant-ph/9509002
A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
http://math.ucr.edu/home/baez/TWF.html
This is a column written about modern topics in mathematical physics.
http://arxiv.org/abs/hep-th/9709135
An essay by C. Nash on the historical connection between topology and physics.
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