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The Geometry of Algebraic Fermi Curves
By:D Gieseker
Published on 2012-12-02 by Academic Press

The Geometry of Algebraic Fermi Curves deals with the geometry of algebraic Fermi curves, with emphasis on the inverse spectral problem. Topics covered include the periodic Schrödinger operator and electrons in a crystal; one-dimensional algebraic Bloch varieties; separable Bloch varieties; and monodromy for separable and generic Bloch varieties. Compactification, the potential zero, and density of states are also discussed. This book consists of 13 chapters and begins by recalling the static lattice approximation for electronic motion at low temperature in a pure, finite sample of a d-dimensional crystal. The position of the Fermi energy and the geometry of the Fermi hypersurface in relation to the metallic properties of the crystal are described. The following chapters focus on the Bloch variety associated with a discrete two-dimensional periodic Schrödinger operator; algebraic Bloch varieties in one dimension; compactification of the Bloch variety; and the potential zero. The geometry of the Bloch variety of a separable potential is also considered, along with the topology of the family of Fermi curves. The final chapter demonstrates how the Bloch variety is determined by the density of states. This monograph will be a useful resource for students and teachers of mathematics.

This Book was ranked at 41 by Google Books for keyword Geometry.

Book ID of The Geometry of Algebraic Fermi Curves's Books is 2N2I0uV3BOwC, Book which was written byD Giesekerhave ETAG "raJcO8W8pAU"

Book which was published by Academic Press since 2012-12-02 have ISBNs, ISBN 13 Code is 9780323159289 and ISBN 10 Code is 0323159281

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Book which have "246 Pages" is Printed at BOOK under CategoryMathematics

This Book was rated by Raters and have average rate at ""

This eBook Maturity (Adult Book) status is NOT_MATURE

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