Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermi-Bose mapping and N-particle ground state of spin-polarized
  fermions in tight atom waveguides   A K-matrix for waveguide confined spin-polarized fermionic atoms recently
computed by Granger and Blume is identified, in the low-energy domain, with a
contact condition for one-dimensional (1D) spinless fermions. Difficulties in
consistently formulating the contact conditions in terms of interaction
potentials are discussed and a rigorous alternative variational reformulation
is constructed. A duality between 1D fermions and bosons with zero-range
interactions suggested by Cheon and Shigehara is shown to hold for the
effective 1D dynamics of a spin-polarized Fermi gas with 3D p-wave interactions
and that of a Bose gas with 3D s-wave interactions in a tight waveguide. This
generalizes the mapping from impenetrable bosons (TG gas) to free fermions and
is used to derive the equation of state of an ultracold spin-polarized
fermionic vapor in a tight waveguide. Near a 1D confinement-induced resonance
one has a "fermionic TG gas" which maps to an ideal Bose gas.

12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom