**Geometry and Topology in Electronic Structure Theory**

by Raffaele Resta

**Publisher**: University of Trieste 2012**Number of pages**: 83

**Description**:

From the table of contents: Introduction; Early discoveries; Berry-ology (geometry in nonrelativistic quantum mechanics); Manifestations of the Berry phase; Modern theory of polarization; Quantum metric and the theory of the insulating state.

Download or read it online for free here:

**Download link**

(1.1MB, PDF)

## Similar books

**Geometry in Physics**

by

**Alexander Altland**

Contents: Exterior Calculus (Exterior Algebra, Differential forms in Rn, Metric, Gauge theory); Manifolds (Basic structures, Tangent space); Lie groups (Lie group actions, Lie algebras, Lie algebra actions, From Lie algebras to Lie groups).

(

**6049**views)

**Lectures on the Geometry of Quantization**

by

**Sean Bates, Alan Weinstein**-

**University of California at Berkeley**

An introduction to the ideas of microlocal analysis and the related symplectic geometry, with an emphasis on the role which these ideas play in formalizing the transition between the mathematics of classical dynamics and that of quantum mechanics.

(

**6827**views)

**Geometry, Topology and Physics**

by

**Maximilian Kreuzer**-

**Technische Universitat Wien**

From the table of contents: Topology (Homotopy, Manifolds, Surfaces, Homology, Intersection numbers and the mapping class group); Differentiable manifolds; Riemannian geometry; Vector bundles; Lie algebras and representations; Complex manifolds.

(

**9932**views)

**Lectures on complex geometry, Calabi-Yau manifolds and toric geometry**

by

**Vincent Bouchard**-

**arXiv**

These are introductory lecture notes on complex geometry, Calabi-Yau manifolds and toric geometry. We first define basic concepts of complex and Kahler geometry. We then proceed with an analysis of various definitions of Calabi-Yau manifolds.

(

**4135**views)