Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solutions of effective-mass Schrodinger equations   We outline a general method for obtaining exact solutions of Schr\"{o}dinger
equations with a position dependent effective mass and compare the results with
those obtained within the frame of supersymmetric quantum theory. We observe
that the distinct effective mass Hamiltonians proposed in the literature in
fact describe exactly equivalent systems having identical spectra and wave
functions as far as exact solvability is concerned. This observation clarifies
the Hamiltonian dependence of the band-offset ratio for quantum wells.

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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs