Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Smooth Boundary Forces from Constrained Geometries   We implement the so-called Weyl-Heisenberg covariant integral quantization in
the case of a classical system constrained by a bounded or semi-bounded
geometry. The procedure, which is free of the ordering problem of operators, is
illustrated with the basic example of the one-dimensional motion of a free
particle in an interval, and yields a fuzzy boundary, a position-dependent mass
(PDM), and an extra potential on the quantum level. The consistency of our
quantization is discussed by analyzing the semi-classical phase space portrait
of the derived quantum dynamics, which is obtained as a regularization of its
original classical counterpart.

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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th