Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Atomic H over plane: effective potential and level reconstruction   The behavior of atomic H in a semi-bounded space $z \geq 0$ with the
condition of "not going through" the boundary (the surface $z=0$) for the
electronic wavefunction (WF) is considered. It is shown that in a wide range of
"not going through" condition parameters the effective atomic potential,
treated as a function of the distance $h$ from H to the boundary plane, reveals
a well pronounced minimum at certain finite but non-zero $h$, which describes
the mode of "soaring" of the atom above the plane. In particular cases of
Dirichlet and Neumann conditions the analysis of the soaring effect is based on
the exact analytical solutions of the problem in terms of generalized
spheroidal Coulomb functions. For $h$ varying between the regions $h \gg a_B$
and $h \ll a_B$ both the deformation of the electronic WF and the atomic state
are studied in detail. In particular, for the Dirichlet condition the lowest
$1s$ atomic state transforms into $2p$-level with quantum numbers $210$, the
first excited ones $2s$ --- into $3p$ with numbers $310$, $2p$ with $m=0$ ---
into $4f$ with numbers $430$, etc. At the same time, for Neumann condition the
whole picture of the levels transmutation changes drastically. For a more
general case of Robin (third type) condition the variational estimates, based
on special type trial functions, as well as the direct numerical tools,
realized by pertinent modification of the finite element method, are used. By
means of the latter it is also shown that in the case of a sufficiently large
positive affinity of the atom to the boundary plane a significant
reconstruction of the lowest levels takes place, including the change of both
the asymptotics and the general dependence on $h$.

11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom