Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distributed Phase Acquisition in a Wave Function   A separable $x-y$ model is solved for a specialized vector potential (no
magnetic and weak electric fields) penetrating slowly\textbf{,} adiabatically
into and across a rectangular box to which an electron is confined. The
time-dependent Schr\"odinger equation has adiabatic solutions, in which gradual
phase acquisitions occur for {\it parts} of the electronic wave function. For a
closed trajectory of the source, the initial and after-return wave functions
are shown to be simultaneously co-degenerate solutions of the Hamiltonian,
which situation repeats itself for further cyclic motion of the source.

23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas