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PHYSICS MATHEMATICAL PHYSICS
Top -> Science -> Physics -> Mathematical Physics (213)
Inexplicable Secrets of Creation
Relationships between number theory and physics.
www.secamlocal.ex.ac.uk
Relationships between number theory and physics.
www.secamlocal.ex.ac.uk
Period and energy in one degree of freedom systems
An article by Jorge Rezende, University of Lisbon. [PDF]
gfm.cii.fc.ul.pt
An article by Jorge Rezende, University of Lisbon. [PDF]
gfm.cii.fc.ul.pt
Geometry and Duality
Lecture notes from the ITP miniprogram on Geometry and Duality
online.itp.ucsb.edu
Lecture notes from the ITP miniprogram on Geometry and Duality
online.itp.ucsb.edu
Dimensional Analysis
A simple review of the powerful technique of dimensional analysis.
www.physics.uoguelph.ca
A simple review of the powerful technique of dimensional analysis.
www.physics.uoguelph.ca
Open Problems in Mathematics and Physics
Links to open problems in mathematics, physics and other subjects.
www.geocities.com
Links to open problems in mathematics, physics and other subjects.
www.geocities.com
This Week's Finds in Mathematical Physics
This is a column written about modern topics in mathematical physics.
math.ucr.edu
This is a column written about modern topics in mathematical physics.
math.ucr.edu
Lectures on Orientifolds and Duality
Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
arxiv.org
Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
arxiv.org
Topology and Physics
An essay by C. Nash on the historical connection between topology and physics.
arxiv.org
An essay by C. Nash on the historical connection between topology and physics.
arxiv.org
Five Lectures on Soliton Equations
A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
arxiv.org
A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
arxiv.org
Hyperreal World
Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese.
www.sun-inet.or.jp
Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese.
www.sun-inet.or.jp
Discrete Self-trapping Equation
A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations.
www.ma.hw.ac.uk
A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations.
www.ma.hw.ac.uk
An Introduction to Noncommutative Geometry
A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
arxiv.org
A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
arxiv.org
Symplectic Geometries in Quantum Physics and Optics
A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
arxiv.org
A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
arxiv.org
Intrinsic Localized Modes
Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.
www.lassp.cornell.edu
Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.
www.lassp.cornell.edu
Non Commutative Geometry
Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics.
dftuz.unizar.es
Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics.
dftuz.unizar.es
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.
world.std.com
A research effort to see how much of standard physics can be done using only quaternions, a 4-dimensional division algebra.
world.std.com
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.
users.ox.ac.uk
A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity.
users.ox.ac.uk
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.
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.
physicstransforms.tripod.com
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).
www.lqp.uni-goettingen.de
An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP).
www.lqp.uni-goettingen.de
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.
arxiv.org
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.
arxiv.org
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.
arxiv.org
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.
arxiv.org
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.
arxiv.org
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.
arxiv.org
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.
arxiv.org
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.
arxiv.org
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.
clifford-algebras.org
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.
clifford-algebras.org
Commutative Hypercomplex Mathematics
A commutative algebra, function theory, and system of analysis is developed for one 4-D variable (not quaternions). It is based upon a commutative group ring and extends all of the properties of the classical complex variables.
home.comcast.net
A commutative algebra, function theory, and system of analysis is developed for one 4-D variable (not quaternions). It is based upon a commutative group ring and extends all of the properties of the classical complex variables.
home.comcast.net
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.
www.physics.orst.edu
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.
www.physics.orst.edu
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.
w3.physics.uiuc.edu
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.
w3.physics.uiuc.edu
Klaus Brauer's Soliton Page
Presents a history of J.S.Russell's discovery of solitary waves, and animations of one-, twoand 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.
www.usf.uni-osnabrueck.de
Presents a history of J.S.Russell's discovery of solitary waves, and animations of one-, twoand 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.
www.usf.uni-osnabrueck.de
PHYSICS MATHEMATICAL PHYSICS
