Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the domain of a magnetic Schr\"odinger operator with complex electric
  potential   The aim of this paper is to review and compare the spectral properties of
(the closed extension of) --$\Delta$ + U (V $\ge$ 0) and --$\Delta$ + iV in L 2
(R^d) for C $\infty$ real potentials U or V with polynomial behavior. The case
with magnetic field will be also considered. More precisely, we would like to
present the existing criteria for: $\bullet$ essential selfadjointness or
maximal accretivity $\bullet$ Compactness of the resolvent. $\bullet$ Maximal
inequalities, i.e. the existence of C > 0 such that, $\forall$u $\in$
C^$\infty$\_0 (R ^d), ||u||^2 \_{H^2 (R^d)} + ||U u||^2 \_{L^2 (R^d)}$\le$ C
||(--$\Delta$ + U)u||^2\_{L^2 (R^d)} + ||u||^2\_{L^2 (R^d)}or similar estimates
for $-\Delta + i V$.

3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con