NCG Seminar

[Emanuele Tuillier Illingworth]

NON-COMMUTATIVE GEOMETRY SEMINAR

Todor Popov
(INRNE, Sofia)

"Landau problem, magnetic translations and noncommutative tori"

Abstract:
We revise the Landau problem of an electron in a constant magnetic
field. The free Hamiltonian is invariant with respect to the Zak's
magnetic translations. Under the assumption of periodicity the magnetic
translations  generate  a non-commutative quantum torus.
For rational values of the magnetic flux duality manifests as a Morita
equivalence between finite modules of the non-commutative torus.
Taking the spin of the electron into account we are naturally lead
to a supersymmetric extension of the magnetic translations.


Friday 17 February 2017 at 10:00
Venue: SISSA, Room 134