Mathematical Physics

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Black holes 'preceded galaxies'

Astronomers believe they have solved a cosmic chicken-and-egg question: what came first - black holes or galaxies?

news.bbc.co.uk

Mosquitoes make sweet love music

Sexy songs sung by mosquitoes in courtship could be key to curbing the spread of dengue fever, say scientists.

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Canadians claim South Pole record

A trio of Canadians claim a new record for the fastest trek across Antarctica to the South Pole.

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Panda bites his third tourist in two years at Beijing zoo

A panda at Beijing zoo bites a man for the third time in two years.

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Poetry or science?

Is romantic love just a chemical cocktail?

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China alert over bird flu death

Chinese authorities shut down and clean poultry markets in Hebei province, after the first human death in nearly a year.

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Eat it or lose it - why centuries of crop diversity are at risk

Centuries of crop diversity are at risk of being lost forever as farmers turn to just a few modern, high yielding varieties.

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Heat may spark world food crisis

Half the world's population could face food crisis by 2100 as soaring temperatures cripple staple crops, scientists warn.

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Our writers talk back

Some of the previous contributors to the Green Room respond to readers' questions and comments.

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First flight of algae-fuelled jet

Continental Airlines is the latest to test fly a jet biofuel, this time with a product derived partially from algae.

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Feilden's blog

Ground-breaking new technique in stem cell science

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Animal matters

Scotland's debate over tests on primates

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Holes give edge to new armour

Scientists from the UK Ministry of Defence (MoD) have devised ultra-hard vehicle armour to protect military personnel.

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US vows 'huge' marine protection

The US is to establish "the largest area of protected sea in the world", banning fishing and mining, around its Pacific islands.

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Earth Watch

Why it is hard to predict sudden environmental crises

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A deep-sea fish caught in the Pacific has mirrors for eyes

A deep-sea fish caught in the Pacific has eyes which use mirrors as well as lenses, scientists discover.

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Body repair 'could be ramped up'

A combination of drugs could trick the body into sending its repair mechanisms into overdrive, say scientists.

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Tech fair offers greener vision

Analysts at the Consumer Electronics Show say green credentials of tech products will become critical to success.

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Everest trip helps critically ill

Blood oxygen levels recorded on a trip by medics to Everest could help the treatment of critically ill patients.

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'Wolfman' returns

Explorer Jim McNeill tracks down Arctic wolves

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Baby Jupiter's huge weight gain

The planet Jupiter must have gained mass fast during its infancy, according to astronomers.

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Venomous mammal caught on camera

Rare footage of one of the world's most strange and elusive mammals is captured by scientists.

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Beagle hunter

On a mission to find the most famous ship of science

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Mummy of female pharaoh uncovered

Egyptologists find remains of a mummy thought to belong to a queen who ruled 4,300 years ago, Egypt's antiquities chief announced.

news.bbc.co.uk

Zimbabwe troops 'eat elephants'

A Zimbabwean wildlife campaigner tells the BBC that soldiers are being given elephant meat to eat, as the economic crisis deepens.

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 Science > Mathematical Physics

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Science > Mathematical Physics

  • Courses (6)
  • Events (87)
  • Institutions (24)
  • People (28)
  • Publications (21)
  • Calculus of Variations (5)
  • Differential Equations (179)
  • Fluid Mechanics and Dynamics (153)
  • Geometric Algebra (10)
  • Statistical Mechanics (15)
  • Topological Quantum Field Theory (10)
  • Mathematical Physics:

    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.

    http://home.comcast.net/~cmdaven/hyprcplx.htm

    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.

    http://arxiv.org/abs/gr-qc/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/

    Graand

    Free Classified Ads Portal

    www.graand.com

    Dimensional Analysis

    A simple review of the powerful technique of dimensional analysis.

    http://www.physics.uoguelph.ca/tutorials/dimanaly/

    Discrete Self-trapping Equation

    A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger 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 4-dimensional division algebra.

    http://world.std.com/~sweetser/quaternions/qindex/qindex.html

    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.

    http://physicstransforms.tripod.com/

    Five Lectures on Soliton Equations

    A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.

    http://arxiv.org/abs/q-alg/9712005

    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 Segal-Bargmann space and the canonical commutation relations.

    http://arxiv.org/abs/quant-ph/9912054

    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.

    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.sun-inet.or.jp/~leibniz/math/

    Inexplicable Secrets of Creation

    Relationships between number theory and physics.

    http://www.secamlocal.ex.ac.uk/~mwatkins/isoc/

    Intrinsic Localized Modes

    Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.

    http://www.lassp.cornell.edu/~sievers/ilm/

    An Introduction to Noncommutative Geometry

    A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.

    http://arxiv.org/abs/physics/9709045

    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://clifford-algebras.org

    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.

    http://www.usf.uni-osnabrueck.de/~kbrauer/solitons.html

    Lectures on Orientifolds and Duality

    Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.

    http://arxiv.org/abs/hep-th/9804208

    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.uni-goettingen.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 Urbana-Champaign.

    http://w3.physics.uiuc.edu/~m-stone5/mma/mma.html

    Mathematical Physics

    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 conformally-invariant concepts, to the synthesis of quantum theory and relativity.

    http://users.ox.ac.uk/~tweb/00001/

    Open Problems in Mathematics and Physics

    Links to open problems in mathematics, physics and other subjects.

    http://www.geocities.com/ednitou/

    Period and energy in one degree of freedom systems

    An article by Jorge Rezende, University of Lisbon. [PDF]

    http://gfm.cii.fc.ul.pt/people/jrezende/jr_periodenergy1.pdf

    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/hep-th/9812148

    Solitons

    An overview of the classical and quantum theory related to solitons

    http://physics1.usc.edu/~vongehr/solitons_html/solitons.html

    Solitons

    Resources at Heriot-Watt University. Meetings, local and other links.

    http://www.ma.hw.ac.uk/solitons/

    Symplectic Geometries in Quantum Physics and Optics

    A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics

    http://arxiv.org/abs/quant-ph/9509002

    This Week's Finds in Mathematical Physics

    This is a column written about modern topics in mathematical physics.

    http://math.ucr.edu/home/baez/TWF.html

    Topology and Physics

    An essay by C. Nash on the historical connection between topology and physics.

    http://arxiv.org/abs/hep-th/9709135

    Twistors- What are they?

    A set of notes introducing spinors and twistors.

    http://www.compsoc.net/~fedja/twistors/twistors.html

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