Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Feynman path integral for the magnetic Schroedinger equation with
  a polynomially growing electromagnetic potential   The Feynman path integrals for the magnetic Schroedinger equations are
defined mathematically, in particular, with polynomially growing potentials in
the spatial direction. For example, we can handle electromagnetic potentials
$(V,A_{1},A_{2},...,A_{d})$ such that $V(t,x) = |x|^{2(l+1)} + $`` a polynomial
of degree $(2l + 1)$ in $x$ " ($l = 0,1,2,...$) and $A_{j}(t,x)$ are
polynomials of degree $l$ in $x$. The Feynman path integrals are defined as
$L^2$-valued continuous functions with respect to the time variable.

34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat