Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time behaviour near to spectral singularities   Spectral singularities such as exceptional points invoke specific physical
effects. The present paper focuses upon the time dependent solutions of the
Schr\"odinger equation. In a simple model it is demonstrated that - depending
on initial conditions - within close proximity of exceptional points the time
behaviour of the wave function displays characteristic features such as very
fast decay or the opposite, i.e. very long life time. At the exceptional point
the wave function typically has a linear term in time besides the usual
exponential behaviour.

29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics