Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Application of the variational $R$-matrix method to one-dimensional
  quantum tunneling   We have applied the variational $R$-matrix method to calculate the reflection
and tunneling probabilities of particles tunneling through one-dimensional
potential barriers for five different types of potential profiles -- truncated
linear step, truncated exponential step, truncated parabolic, bell-shaped, and
Eckart. Our variational results for the transmission and reflection
coefficients are compared with exact analytical results and results obtained
from other numerical methods. We find that our results are in good agreement
with them. We conclude that the variational $R$-matrix method is a simple,
non-iterative, and effective method to solve one-dimensional quantum tunneling
problems.

11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th