A twisted spectral triple for quantum SU(2)

Quantum Groups and Twisted Spectral Triples

Through the example of the quantum symplectic 4-sphere, we discuss how the notion of twisted spectral triple fits into the framework of quantum homogeneous spaces.

q-FUZZY SPHERES AND QUANTUM DIFFERENTIALS ON Bq[SU2] AND Uq(su2)

We show that the 2-parameter Podles sphere is a q-fuzzy sphere precisely interpolating between the fuzzy sphere as quotient of the angular momentum algebra U(su2) and the standard q-sphere Cq [S] as subalgebra of the quantum group Cq [SU2]. Whereas the classical sphere as CP 1 can be defined as the algebra generated by the matrix entries of a projector e with trace(e) = 1, the fuzzy-sphere is d...

Electronic Properties of a Concentric Triple Quantum Nanoring

In this paper, we study the electronic properties of a concentric triple quantum ring using exact diagonalization technique. The energy spectra and magnetization for a single electron and two electrons, in the presence of an applied magnetic field, are calculated and discussed. It is shown that, for two-interacting electrons, the period of Aharonov-Bohm oscillations decreases to the half of tha...

Spectral projections for the twisted Laplacian

Let n ≥ 1, d = 2n, (x, y) ∈ Rn ×Rn the notation for a generic point in R2n. The twisted Laplacian L = − 2 n

Quantum Twisted Codes