Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exactly solvable Schr\"odinger equation with double-well potential for
  hydrogen bond   We construct a double-well potential for which the Schr\"odinger equation can
be exactly solved via reducing to the confluent Heun's one. Thus the wave
function is expressed via the confluent Heun's function. The latter is
tabulated in {\sl {Maple}} so that the obtained solution is easily treated. The
potential is infinite at the boundaries of the final interval that makes it to
be highly suitable for modeling hydrogen bonds (both ordinary and low-barrier
ones). We exemplify theoretical results by detailed treating the hydrogen bond
in $KHCO_3$ and show their good agreement with literature experimental data.

34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol