Non‐Abelian Aharonov–Bohm effects, Feynman paths, and topology

1986 ◽  
Vol 27 (6) ◽  
pp. 1566-1570 ◽  
Author(s):  
Raman Sundrum ◽  
L. J. Tassie
Keyword(s):  
And Topology ◽  
Feynman Paths ◽  
Aharonov Bohm

BRAID GROUPS, ANYONS AND GAUGE INVARIANCE

1991 ◽  
Vol 05 (10) ◽  
pp. 1649-1664 ◽  
Author(s):  
Yong-Shi Wu
Keyword(s):  
Mechanical Properties ◽  
Braid Group ◽  
Group Analysis ◽  
Braid Groups ◽  
Quantum Mechanical ◽  
The Novel ◽  
And Topology ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Nontrivial Topology

The structure of braid groups on topologically nontrivial surfaces is reviewed. The physical meaning of the braid relations and their implications on quantum mechanical properties of anyonic quasiparticles are discussed. These include not only the exotic statistics of anyons but also the Aharonov-Bohm effect for the anyons on a surface with holes. Several results on the novel properties of anyons or their states, which were previously derived by microscopic considerations, are reproduced by this seemingly kinematic and topology-dependent braid group analysis. It is suggested that in the thermodynamic limit, the global excitations in a system on a surface of nontrivial topology do not interfere with properties of local anyonic quasiparticles.

Geometry and Topology

2005 ◽  
Author(s):  
Miles Reid ◽  
Balazs Szendroi
Keyword(s):  
And Topology

Diffraction in crystals and topology

1991 ◽  
Vol 1 (8) ◽  
pp. 1187-1193 ◽  
Author(s):  
V. E. Dmitrienko
Keyword(s):  
And Topology

NEW PHASES OF QUANTUM MATTER AND TOPOLOGY

2016 ◽  
pp. 63-73
Author(s):  
I.V. Krive ◽  
◽  
S.I. Shevchenko ◽  
Keyword(s):  
Quantum Matter ◽  
And Topology
Sign in / Sign up

Export Citation Format

Share Document