Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of quantum wavefunctions for non-separable but integrable
  two-dimensional Hamiltonian systems by means of the boundary values on the
  classical caustics   It is shown that it is possible to construct the quantum wave functions for
non-separable but integrable two-dimensional Hamiltonian systems, by solving
suitable Dirichlet boundary values problems inside and outside the regions
spanned by particular families of classical trajectories, in one-to-one
correspondence with the quantum state. The method is applied both to the
Schrodinger equation, and to the quantum Hamilton-Jacobi equation. The boundary
values are obtained by integrating the one-dim equations on the caustics arcs
enveloping the classical trajectories. This approach gives the same results as
the usual methods, and furthermore clarifies the links between quantum and
classical mechanics.

22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph