Science, Physics, Mathematical Physics
See Also:
- A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity. Some papers on-lin.
- 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.
- A simple review of the powerful technique of dimensional analysis.
- Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
- Relationships between number theory and physics.
- Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.
- Windows demonstration program download.
- 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.
- Links to open problems in mathematics, physics and other subjects.
- Summary and application as it relates to electromagnetic theory and special relativity.
- 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.
- A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
- 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.
- A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
- 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.
- 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.
- A set of notes introducing spinors and twistors.
- 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.
- Lecture notes from the ITP miniprogram on Geometry and Duality
- Description of Twistor Theory
- Links, animations, references, and a brief description of research into n-body problems.
- A brief introduction to the properties and uses of the Dirac delta function.
- An article by Jorge Rezende, University of Lisbon (PDF).
- Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics.
- This resource is devoted to mathematical aspects of kinetic theory and its applications in physics and chemistry.
- 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.
- Resources at Heriot-Watt University. Meetings, local and other links.
- A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations.
- 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.
- A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
- An essay by C. Nash on the historical connection between topology and physics.
- Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese.
- 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.
- This is a column written about modern topics in mathematical physics.
- A research effort to see how much of standard physics can be done using only quaternions, a 4-dimensional division algebra.
- 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
- An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP).
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