- Tytuł:
- Torsion in Cohomology Groups of Configuration Spaces
- Autorzy:
-
Maciążek, T.
Sawicki, A. - Powiązania:
- https://bibliotekanauki.pl/articles/1030016.pdf
- Data publikacji:
- 2017-12
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
Quantum graphs
quantum statistics
vector bundles
homology groups - Opis:
- An important and surprising discovery in physics in the last fifty years is that if quantum particles are constrained to move in two rather than three dimensions, they can in principle exhibit new forms of quantum statistics, called anyons. Although anyons were initially only a theoretical concept, they quickly proved to be useful in explaining one of the most significant discoveries of condensed matter physics in the last century, i.e. fractional quantum Hall effect. Recently, it was shown that particles constrained to move on a graph can exhibit even more exotic forms of quantum statistics, depending on the topology of the graph. In this paper we discuss what possible new quantum signatures of topology may arise when one takes into account more complex topological information, called higher (co)homology groups, which may also be associated with graph configuration spaces. In particular we focus on the significance of a torsion component.
- Źródło:
-
Acta Physica Polonica A; 2017, 132, 6; 1695-1698
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł