Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The time-dependent Schr\"odinger equation with piecewise constant
  potentials   The linear Schr\"odinger equation with piecewise constant potential in one
spatial dimension is a well-studied textbook problem. It is one of only a few
solvable models in quantum mechanics and shares many qualitative features with
physically important models. In examples such as "particle in a box" and
tunneling, attention is restricted to the time-independent Schr\"odinger
equation. This paper combines the Unified Transform Method and recent insights
for interface problems to present fully explicit solutions for the
time-dependent problem.

12
The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th