On concrete spectral properties of a twisted-Laplacian associated to a central extension of the real Heisenberg group

Aymane EL Fardi, Allal Ghanmi, Ahmed Intissar

We consider the magnetic Laplacian ${\Delta }_{\nu ,\mu }$ on ${\mathbb{R}}^{2n}={\mathbb{C}}^n$ given by $$ Δ_{ν,μ}= 4\sum\limits_{j=1}\limits^{n}\frac{\partial^2 }{\partial z_j \partial \overline{…