Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real analyticity away from the nucleus of pseudorelativistic
  Hartree-Fock orbitals   We prove that the Hartree--Fock orbitals of pseudorelativistic atoms, that
is, atoms where the kinetic energy of the electrons is given by the
pseudorelativistic operator sqrt{-Delta+1}-1, are real analytic away from the
origin. As a consequence, the quantum mechanical ground state of such atoms is
never a Hartree-Fock state.
  Our proof is inspired by the classical proof of analyticity by nested balls
of Morrey and Nirenberg. However, the technique has to be adapted to take care
of the non-local pseudodifferential operator, the singularity of the potential
at the origin, and the non-linear terms in the equation.

12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th