“School of Physics”

Back to Papers Home
Back to Papers of School of Physics

Paper   IPM / P / 6518
School of Physics
  Title:   Quantum Group Symmetry of the Quantum Hall Effect on Non-Flat Surfaces
  Author(s): 
1.  M. Alimohammadi
2.  A. Shafei Deh Abad
  Status:   Published
  Journal: J. Phys. A: Math. Gen.
  No.:  28
  Vol.:  29
  Year:  1996
  Pages:   559-563
  Supported by:  IPM
  Abstract:
After showing that the magnetic translation operators are not the symmetries of the quantum Hall effect () on non-flat surfaces, we show that another set of operators which leads to the quantum group symmetries for some of these surfaces exists. As a first example we show that the su(2) symmetry of the on a sphere leads to suq(2) algebra in the equator. We explain this result by a contraction of su(2). Second, with the help of the symmetry operators of on the Poincar\acutee upper half plane, we will show that the ground-state wavefunctions form a representation of the suq(2) algebra.

Download TeX format
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right