Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Where and why the generalized Hamilton-Jacobi representation describes
  microstates of the Schr\"odinger wave function   A generalized Hamilton-Jacobi representation describes microstates of the
Schr\"odinger wave function for bound states. At the very points that boundary
values are applied to the bound state Schr\"odinger wave function, the
generalized Hamilton-Jacobi equation for quantum mechanics exhibits a nodal
singularity. For initial value problems, the two representations are
equivalent.

35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn