Mathematical Physics
Mathematical Physics
Mathematical Physics Links
- The Dirac Delta Function A brief introduction to the properties and uses of the Dirac delta function.
- Physics of Nonequilibrium Systems Laboratory The subsidiary of the Department of Air Dynamics and Cosmic Research of Moscow Institute of Physics and Technology. The laboratory deals with the different types of nonequilibrium processes and systems.
- An Introduction to Noncommutative Geometry A set of lecture notes on noncommutative geometry and the applications in physics.
- Solitons An overview of the classical and quantum theory related to solitons
- Geometric Algebra and it Applications in Mathematical Physics A thesis (downloadable in postscript format) on applications of geometric algebra and Clifford algebras in mathematical physics.
- Twistor Theory Website Twistor theory offers a new approach, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity.
- 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.
- Two Dimensional Spinors An overview of the theory of spinors in two dimensions and their quantum mechanical applications
- This Week's Finds in Mathematical Physics This is a column written about modern topics in mathematical physics.
- Arrangements and Mathematical Physics NSF-CBMS Regional Research Conference. January 15 - 19, 2002; Louisiana State University, Baton Rouge.
- Celestial mechanics research Links, animations, references, and a brief description of research into n-body problems.
- Recent Developments in Skyrme Models An introduction to recent, more mathematical developments in the Skyrme model. The aim is to render these advances accessible to mainstream nuclear and particle physicists.
- Preparation for Gauge Theory Class lecture notes at a beginning graduate level on the mathematical background needed to understand classical gauge theory.
- 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.
- Homological Methods in Mathematical Physics These lecture notes are a systematic and self-contained exposition of the cohomological theories naturally related to partial 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.
- Symplectic Geometries in Quantum Physics and Optics A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
- 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.
- Open problems in mathematics and physics Links to open problems in mathematics a nd physics
- Kinetic Theory. Problems and applications. This resource is devoted to mathematical aspects of kinetic theory and its applications in phisics, chemistry and economics.
- Clyde Davenport's Home Page Summarizes the commutative hypercomplex 4-D mathematics and applies it to electromagnetic theory and special relativity.
- Kinetic Theory and its Applications. This resource is devoted to mathematical aspects of kinetic theory and its applications in physics and chemistry.
- Twistors- What are they? A set of notes introducing spinors and twistors.
- Burger's Equation An overview of the simplest differential equation which allows for shocks and other discontinuities.
- QMath-8 Mathematical Results in Quantum Mechanics. Taxco, Mexico; 10--14 December 2001.
- 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.
- Burger's Equation An applet demonstrating Burger's equation in one dimension.
- Five Lectures on Soliton Equations This is a self-contained review of a new approach to soliton equations of KdV type.
- Holomorphic Methods in Mathematical Physics This set of lecture notes 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.
- Dimensional Analysis A simple review of the powerful technique of dimensional analysis.
- Topology and Physics An essay on the historical connection between topology and physics.
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