One dimensional models of excitons in carbon nanotubes

Excitons in carbon nanotubes may be modeled by two oppositely charged particles living on the surface of a cylinder. We derive three one dimensional effective Hamiltonians which become exact as the radius of the cylinder vanishes. Two of them are solvable. In cooperation with Pierre Duclos, Université de Toulon et du Var and Thomas Garm Pedersen, Physics, Aalborg University