Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hamilton-Jacobi Approach to the Quantization of Classically
  Non-Separable but Integrable Two-Dimensional Systems: the Role of the
  Classical Caustics   The quantization method based on the quantum Hamiltonian Jacobi equation, is
extended to two-dimensional non-separable but integrable Hamiltonians. It is
shown that each wave function for those systems corresponds to a well-defined
family of classical trajectories, enveloped by a caustic. The energy
eigenvalues and the values of the wave functions on the caustic are obtained by
solving the 1-dim quantum Hamilton Jacobi equation of the caustic' arcs.
Results are in good agreement with those obtained by usual methods.

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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
2
The categories of this paper are: math
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
18
The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an