
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
An Introduction to Noncommutative Spaces and their Geometryby Giovanni Landi - arXiv
These lectures notes are an introduction for physicists to several ideas and applications of noncommutative geometry. The necessary mathematical tools are presented in a way which we feel should be accessible to physicists.
(14871 views)
First Steps Towards a Symplectic Dynamicsby Barney Bramham, Helmut Hofer - arXiv
Both dynamical systems and symplectic geometry have rich theories and the time seems ripe to develop the common core with integrated ideas from both fields. We discuss problems which show how dynamical systems and symplectic ideas come together.
(13992 views)
Differential Geometry in Physicsby Gabriel Lugo - University of North Carolina at Wilmington
These notes were developed as a supplement to a course on Differential Geometry at the advanced undergraduate level, which the author has taught. This texts has an early introduction to differential forms and their applications to Physics.
(21781 views)
Lectures on Calabi-Yau and Special Lagrangian Geometryby Dominic Joyce - arXiv
An introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture.
(15986 views)