The Geometry of Algebraic Fermi Curves

The Geometry of Algebraic Fermi Curves

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Description

This text outlines a mathematical model for electronic motion at low temperature in a finite, pure sample of a d-dimensional crystal. The authors present research using the machinery of algebraic geometry and topological methods to determine the independent electron approximation. Intended for use by researchers and graduate students in algebraic geometry, analysis and mathematical physics, the book includes chapters on one dimensional algebraic bloch varieties and the potential zero.
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Product details

  • Hardback | 230 pages
  • 160 x 230 x 21mm | 570g
  • Academic Press Inc
  • San Diego, United States
  • English
  • references
  • 0122826205
  • 9780122826207

Table of contents

The periodic Schrodinger operator and electrons in a crystal; preliminaries; one dimensional algebraic bloch varieties; compactification and consequences; the potential zero; separable bloch varieties; topology of the family of fermi curves; monodromy; monodromy of separable bloch varieties; monodromy for generic bloch varieties; density of states; density of states and monodromy; the density of states determines the bloch variety.
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