“School of Physic”
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| Paper IPM / Physic / 6518 |
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| Abstract: | |||||
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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.
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