Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constraints on Airy function zeros from quantum-mechanical sum rules   We derive new constraints on the zeros of Airy functions by using the
so-called quantum bouncer system to evaluate quantum-mechanical sum rules and
perform perturbation theory calculations for the Stark effect. Using
commutation and completeness relations, we show how to systematically evaluate
sums of the form $S_{p}(n) = \sum_{k \neq n} 1/(\zeta_k - zeta_n)^p$, for
natural $p > 1$, where $\zeta_n$ is the $n$-th zero of $Ai(\zeta)$.

11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess