Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On concrete spectral properties of a twisted-Laplacian associated to a
  central extension of the real Heisenberg group   We consider the magnetic Laplacian $\Delta_{\nu,\mu}$ on
$\mathbb{R}^{2n}=\mathbb{C}^n$ given by $$ \Delta_{\nu,\mu}=
4\sum\limits_{j=1}\limits^{n}\frac{\partial^2 }{\partial z_j \partial
\overline{z_j}} +2i\nu (E+ \overline{E} +n) +2\mu (E- \overline{E} )
-(\nu^2+\mu^2)|z|^2. $$ We show that $\Delta_{\nu,\mu}$ is connected to the
sub-Laplacian of a group of Heisenberg type given by $\mathbb{C}\times_\omega
\mathbb{C}^n$ realized as a central extension of the real Heisenberg group
$H_{2n+1}$. We also discuss invariance properties of $\Delta_{\nu,\mu}$ and
give some of their explicit spectral properties.

8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat