Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Topological Phases of Matter Modeling and Classification
 

Summary: Topological Phases of Matter
Modeling and Classification
Zhenghan Wang
Microsoft Station Q
RTG in Topology and Geometry, UCSB Oct 21, 2011
Prediction of Quantum Theory
Quantum computing is possible
There are non-abelian anyons
Thm: Prediction 2 implies Prediction 1.
Anyon=Localized Non-Local Properties
Favorite Theorems
Poincare-Hopf Index Thm
Gauss-Bonnet-Chern Thm
Quantum Systems
A pair Q=(L, H), where L is a Hilbert space
and H an Hermitian operator, physically H
should be local.
Examples:
0) L = C2, H= I

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics