Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zero-range potential model for the study of the ground states near the
  vortex core in the quantum limit   We propose the treatment of the lowest bound states near the vortex core on
the basis of the self-adjoint extension of the Hamiltonian with the localized
magnetic flux of Aaronov-Bohm type. It is shown that in the limit {\varkappa}
>> 1 the potential for the vortex core excitations can be treated in terms of
the generalized zero-range potential method. The spectrum of the Caroli-de
Gennes-Matricon states is obtained and the comparison with the numerical
calculations of Hayashi, N. et al. [Phys. Rev. Lett. 80, p. 2921 (1998)] is
performed. The analytical expression for the ground state energy depending on
the boundary condition parameter b was obtained by us.

26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn