Top: Science: Physics: Mathematical_Physics:
Mathematical Physics (219)
Categories:
See Also:
Regular Links:
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.
http://arxiv.org/abs/grqc/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.
http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/
Dimensional Analysis
A simple review of the powerful technique of dimensional analysis.
http://www.physics.uoguelph.ca/tutorials/dimanaly/
Discrete Selftrapping Equation
A bibliography in BibTeX format for those interested in discrete nonlinear SchrÃ¶dinger type equations.
http://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.
http://world.std.com/~sweetser/quaternions/qindex/qindex.html
Geometry and Duality
Lecture notes from the ITP miniprogram on Geometry and Duality
http://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.
http://arxiv.org/abs/quantph/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.
http://arxiv.org/abs/math.DG/9808130
Hyperreal World
Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese.
http://www.suninet.or.jp/~leibniz/math/
Intrinsic Localized Modes
Dynamics of defectfree periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.
http://www.lassp.cornell.edu/~sievers/ilm/
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.
http://cliffordalgebras.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
http://www.usf.uniosnabrueck.de/~kbrauer/solitons.html
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).
http://www.lqp.unigoettingen.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.
http://w3.physics.uiuc.edu/~mstone5/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.
http://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.
http://users.ox.ac.uk/~tweb/00001/
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.
http://arxiv.org/abs/hepth/9812148
Solitons
Resources at HeriotWatt University. Meetings, local and other links.
http://www.ma.hw.ac.uk/solitons/
The Dirac Delta Function
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
Topology and Physics
An essay by C. Nash on the historical connection between topology and physics.
http://arxiv.org/abs/hepth/9709135
Twistors What are they?
A set of notes introducing spinors and twistors.
http://www.compsoc.net/~fedja/twistors/twistors.html


Last Updated: 20070812 19:18:24
