geometry and dynamics of magnetic monopoles by Michael Francis Atiyah

Cover of: geometry and dynamics of magnetic monopoles | Michael Francis Atiyah

Published by Princeton University Press in Princeton, N.J .

Written in English

Read online

Subjects:

  • Magnetic monopoles -- Mathematics.,
  • Solitons.,
  • Geometry.,
  • Differential equations, Hyperbolic -- Numerical solutions.

Edition Notes

Book details

Other titlesM.B. Porter lectures.
StatementMichael Atiyah and Nigel Hitchin.
ContributionsHitchin, N. J. 1946-
Classifications
LC ClassificationsQC760.4.M33 A85 1988
The Physical Object
Pagination133 p. :
Number of Pages133
ID Numbers
Open LibraryOL2391929M
ISBN 100691084807
LC Control Number87021366

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Find all the books, read about the author, and more. See search results for this by:   In this book a particular system, describing the interaction of magnetic monopoles, is investigated in detail. The use of new geometrical methods produces a reasonably clear picture of the dynamics for slowly moving monopoles.

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the confined geometry of the magnetic nanostructure isolates the phononic modes much like semiconductor microcavities control excitonic. The geometry and dynamics of magnetic monopoles: Author(s) Atiyah, Michael Francis; Hitchin, Nigel J: Publication Princeton, NJ: Princeton Univ.

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Download Citation | Geometry of the Magnetic Monopole | It is shown that the vector potential of a magnetic monopole can be obtained from consid-eration of the Berry phase in a new perspective. The geometry and dynamics of magnetic monopoles.

[Michael Francis Atiyah; N J Hitchin] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library.

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In this book a particular system, describing the interaction of magnetic monopoles, is investigated in detail. The use of new geometrical methods produces a reasonably clear picture of the dynamics for slowly moving monopoles. This picture clarifies the important notion of solitons, which has attracted much attention in recent years.

We consider the magnetic monopole in the axionic dark matter environment (axionic dyon) in the framework of the Reissner-Nordström-de Sitter model. Our aim is to study the distribution of the pseudoscalar (axion) and electric fields near the so-called folds, which are characterized by the profiles with the central minimum, the barrier on the.

In mathematics, a monopole is a connection over a principal bundle G with a section of the associated adjoint bundle. Physical interpretation. Physically, the section can be interpreted as a Higgs field, where the connection and Higgs field should [why?] satisfy the Bogomolny equations and be of finite action.

See also. Nahm equations; Instanton; Magnetic monopole. M.F. Atiyah, N.J. Hitchin, "The geometry and dynamics of magnetic monopoles", Princeton Univ. Press () MR Zbl [a2] M.F. Atiyah, "Magnetic monopoles in hyperbolic space", Vector bundles on algebraic varieties.

Ordinary Differential Equations - by Bernd J. Schroers September We use cookies to distinguish you from other users and to provide you with a better experience on our websites.

The amplitude of the current is I m = 5 A. Figure 5 shows the distribution of the normal component of the magnetic field generated by the eddy currents and currents of the coil, along the line L. Chen Ning Yang, Fibre Bundles and the Physics of the Magnetic Monopole, The Chern Symposium/, (), ().

Crossref VolumeIssue 1. WASHINGTON (ISNS) — Pipe organs may be more than 2, years old, but they continue to perplex scientists with their mysterious behavior.

In a paper soon to appear in Physical Review Letters, physicists have coaxed the antique instrument to reveal one of its secrets, and the discovery could lead to a new way to silence loud, persistent noises, such as the roar of an airplane or the whine of. We describe in mathematical detail the Nahm transformation which maps anti-self dual connections on the four-torus (S 1)4 onto anti-self-dual connections on the dual torus.

This transformation induces a map between the relevant instanton moduli spaces and we show that this map is a (hyperKähler) isometry. Magnetic relaxation in zero DC field. The theory of Ryzhkin6 applies the thermodynamics of irreversible processes to the problem of magnetic monopole transport in spin ice, specifically exploiting the spin ice-water ice analogy and the Jaccard theory of defect motion in water iceIt is shown that the usual entropy gain of driving a current (in this case a monopole current) is opposed by the.

Classical solutions play an important role in quantum field theory, high-energy physics and cosmology. Real-time soliton solutions give rise to particles, such as magnetic monopoles, and extended structures, such as domain walls and cosmic strings, that have implications for early universe cosmology.

Author of books: K-Theory (, with I.G. Macdonald) Introduction to Commutative Algebra () Elliptic Operators and Compact Groups () Geometry of Yang-Mills Fields (, with Nigel Hitchin) The Geometry and Dynamics of Magnetic Monopoles () Collected Works of Michael Francis Atiyah (, five volumes) The Geometry and Physics of Born: 2.

Magnetic monopoles and nonassociative quantum mechanics We shall start by discussing the quantum mechanics of electrons propagating in sources of magnetic charge, focusing on the case of uniform monopole distributions which are the suitable analog systems dual to certain non-geometric string backgrounds.

In this latter case we argue. arXiv:hep-th/v2 20 Dec CU-TP KIAS-P hep-th/ Magnetic Monopole Dynamics, Supersymmetry, and Duality Erick J. Weinberga,b1 and Piljin Yib2 aPhysics Department, Columbia University, New York, N.Y.

U.S.A. bSchool of Physics, Korea Institute for Advanced Study,Cheongnyangni-2dong, Dongdaemun-gu, SeoulKorea. References [1] M.E Atiyah and N.J. Hitchin, The GeometO' and Dynamics of Magnetic Monopoles ~Princeton University Press, Princeton, N J, ). Chalmers, Multi-monopole moduli spaces for SU(N) gauge group, preprint, institute for theoretical physics, Stony Brook, ITB-SB, hep- th / 9 6 0   Volumenumber 2 PHYSICS LETTERS B MONOPOLES AND TOPOLOGICAL FIELD THEORY * L.

BAULIEU and B. GROSSMAN' Laboratoire de Physique Thrique et Hautes Energies, UniversitPierre et Marie Curie, T 4 place Jussieu, F Paris Ce France Received 12 August 17 November We present a topological quantum field theory for magnetic monopoles.

Stochastic monopole nucleation and movement in ASI's has been achieved by application and subsequent reversal of an externally applied saturating magnetic field [17, 19–22].

Monopole dynamics have been probed through extensive cascade type experiments revealing quenched disorder and freedom from thermal fluctuations [23–25]. Atiyah, M. and Hitchin, N. The Geometry and Dynamics of Magnetic Monopoles. Princeton, NJ: Princeton University Press, Auerbach, A.

Interacting Electrons and. We present simulations of one magnetic monopole interacting with multiple magnetic singularities. Three-dimensional plots of the energy density are constructed from explicit solutions to the Bogomolny equation obtained by Blair, Cherkis, and Durcan.

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