Aspects topologiques de la physique en basse dimension = by A. Comtet, T. Jolicoeur, S. Ouvry, F. David PDF

By A. Comtet, T. Jolicoeur, S. Ouvry, F. David

ISBN-10: 2868834248

ISBN-13: 9782868834249

ISBN-10: 3540669094

ISBN-13: 9783540669098

The e-book includes the labored out lecture notes of the classes introduced on the summer season university in Les Houches. They handle graduate scholars and are of curiosity for researchers in addition. The publication can be utilized as an creation into 3 heavily similar fields: anyons and fractional data, fractional quantum corridor impression and knot conception. The theoretical papers are sometimes accomplished by way of experiences on experimental options, and in addition to of physics a few software to organic platforms are available.

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Additional resources for Aspects topologiques de la physique en basse dimension = Topological aspects of low dimensional systems: Ecole de Physique des Houches - UJF & INPG - Grenoble, Les Houches, Session LXIX, 7-31 July 1998

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1 Introduction . . . . . . . . . . . 2 Local symmetries. Connexion and curvature . . 3 Chern classes . . . . . . . . . . . 5 The Weitzenb¨ ock formula . . . . . . . . . . . . . . . . . . . . . . . . . 860 860 861 862 865 869 . . . . . . . . . . 1 The Ginzburg-Landau equations . . . . . . . . . . . 2 The Bogomol’nyi identities . . . . . . . . . . . . 3 superconducting billiard 872 The zero current line . . . . . . .

5 The Laplacian . . . . . . . . . . . . . 6 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Introduction . . . . . . . . . . . 2 Local symmetries. Connexion and curvature . . 3 Chern classes . . . . . . . . . . . 5 The Weitzenb¨ ock formula . . . . . . . . . . . . . . . . . . . . . . . . . 860 860 861 862 865 869 . . . . . . . . . . 1 The Ginzburg-Landau equations .

2 The overstretching transition . . . . . . . . . . . . 5 torsional buckling instability The buckling instability at T = 0 . . . . . . . . The buckling instability in the rod-like chain (RLC) model Elastic rod model of supercoiled DNA . . . . . . Theoretical analysis of the extension versus supercoiling experiments . . . . . . . . . . . . . . Critical torques are associated to phase changes . . . . 744 . . . 744 . . . 746 . . . 746 .

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Aspects topologiques de la physique en basse dimension = Topological aspects of low dimensional systems: Ecole de Physique des Houches - UJF & INPG - Grenoble, Les Houches, Session LXIX, 7-31 July 1998 by A. Comtet, T. Jolicoeur, S. Ouvry, F. David


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