7 citations · 9 across the 7 of their papers we have counts for
4 papers · 1 filter
Geodesic Curves on Quantized Manifolds
V. Milani, A. Shafei Deh Abad
A general definition of the curves and geodesics associated with a given connection on a quantized manifold is given. In the particular case of the functional quantization we defin…
Hamiltonian Systems on Quantum Spaces
A. Shafei Deh Abad
In this paper we consider Hamiltonian systems on the quantum plane and we show that the set of Q-meromorphic Hamiltonians is a Virasoro algebra with central charge zero and the set…
Quantum group symmetry of the Quantum Hall effect on the non-flat surfaces
M. Alimohammadi, A. Shafei Deh Abad
After showing that the magnetic translation operators are not the symmetries of the QHE on non-flat surfaces , we show that there exist another set of operators which leads to the…
-Meromorphic Functions, Quantums sets and Homomorphisms of the Quantum Plane
A. Shafei Deh Abad, V. Milani
In this paper which is the completion of [1], we construct the -algebra of -meromorphic functions on the quantum plane. This is the largest non-commutative, associative,…