Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconstructing the potential for the 1D Schr\"odinger equation from
  boundary measurements   We consider the inverse problem of the determining the potential in the
dynamical Schr\"odinger equation on the interval by the measurement on the
whole boundary. Provided that source is \emph{generic} using the Boundary
Control method we recover the spectrum of the problem from the observation at
either left or right end points. Using the specificity of the one-dimensional
situation we recover the spectral function, reducing the problem to the
classical one which could be treated by known methods. We adapt the algorithm
to the situation when only the finite number of eigenvalues are known and
provide the result on the convergence of the method.

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The categories of this paper are: cond-mat
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
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The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th