Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Hamilton - Jacobi study of wave functions and energy spectrum of
  solvable and quasi - exactly solvable models   In this thesis, the quantum Hamilton Jacobi (QHJ) formalism is used to study
various exactly solvable (ES) and quasi -exactly solvable (QES) models. Using
this method, we obtain the bound state eigenvalues and the eigenfunctions for
the models studied. The central entity of this formalism in the logarithmic
derivative of the wave function, known as the quantum momentum function
(QMF).It is assumed that the point at infinity is an isolated singular
point.The kowledge of the singularity structure of the QMF is used to arrive at
the required solutions. We show that there are marked differences between the
singularity structures of the ES and QES models.

10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc