Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Path Integral Approach for Quantum Motion on Spaces of Non-constant
  Curvature According to Koenigs   In this contribution I discuss a path integral approach for the quantum
motion on two-dimensional spaces according to Koenigs, for short
``Koenigs-Spaces''. Their construction is simple: One takes a Hamiltonian from
two-dimensional flat space and divides it by a two-dimensional superintegrable
potential. These superintegrable potentials are the isotropic singular
oscillator, the Holt-potential, and the Coulomb potential. In all cases a
non-trivial space of non-constant curvature is generated. We can study free
motion and the motion with an additional superintegrable potential. For
possible bound-state solutions we find in all three cases an equation of eighth
order in the energy E. The special cases of the Darboux spaces are easily
recovered by choosing the parameters accordingly.

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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
34
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: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: hep-th