|
Twistors- What are they?
|
A set of notes introducing spinors and twistors.
|
|
Dimensional Analysis
|
A simple review of the powerful technique of dimensional analysis.
|
|
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.
|
|
Hyperreal World
|
Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese.
|
|
Discrete Self-trapping Equation
|
A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations.
|
|
Celestial Mechanics Research
|
Links, animations, references, and a brief description of research into n-body problems.
|
|
This Week's Finds in Mathematical Physics
|
This is a column written about modern topics 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.
|
|
Lectures on Orientifolds and Duality
|
Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
|
|
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.
|
|
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.
|
|
An Introduction to Noncommutative Geometry
|
A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in 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.
|
|
Kinetic Theory and its Applications.
|
This resource is devoted to mathematical aspects of kinetic theory and its applications in physics and chemistry.
|
|
Open Problems in Mathematics and Physics
|
Links to open problems in mathematics, physics and other subjects.
|
|
Non Commutative Geometry
|
Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics.
|
|
Symplectic Geometries in Quantum Physics and Optics
|
A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
|
|
Topology and Physics
|
An essay by C. Nash on the historical connection between topology and physics.
|
|
Period and energy in one degree of freedom systems
|
An article by Jorge Rezende, University of Lisbon (PDF).
|
|
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.
|
|
Five Lectures on Soliton Equations
|
A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
|
|
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.
|
|
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).
|
|
Solitons
|
An overview of the classical and quantum theory related to solitons
|
|
The Dirac Delta Function
|
A brief introduction to the properties and uses of the Dirac delta function.
|
|
Clyde Davenport's Commutative Hypercomplex Mathematics
|
Summary and application as it relates to electromagnetic theory and special relativity.
|
|
Solitons
|
Resources at Heriot-Watt University. Meetings, local and other links.
|
|
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.
|
|
Geometry and Duality
|
Lecture notes from the ITP miniprogram on Geometry and Duality
|
|
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.
|
|
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.
|
|
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.
|
|
Klaus Brauer's Soliton Page
|
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.
|
|
Inexplicable Secrets of Creation
|
Relationships between number theory and physics.
|
|
Intrinsic Localized Modes
|
Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.
|
|
On the Origins of Twister Theory
|
A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity.
|
|
Inexplicable Secrets of Creation
|
Zeta function site by Matthew Watkins.
|
|
КинетичеÑ?каÑ? теориÑ?
|
Сайт поÑ?вÑ?щен математичеÑ?ким аÑ?пектам кинетичеÑ?кой теории и ее применению в физике и химии.
|
