Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Atoms and Quantum Dots With a Large Number of Electrons: the Ground
  State Energy   We compute the ground state energy of atoms and quantum dots with a large
number N of electrons. Both systems are described by a non-relativistic
Hamiltonian of electrons in a d-dimensional space. The electrons interact via
the Coulomb potential. In the case of atoms (d=3), the electrons are attracted
by the nucleus, via the Coulomb potential. In the case of quantum dots (d=2),
the electrons are confined by an external potential, whose shape can be varied.
We show that the dominant terms of the ground state energy are those given by a
semiclassical Hartree-exchange energy, whose N to infinity limit corresponds to
Thomas-Fermi theory. This semiclassical Hartree-exchange theory creates
oscillations in the ground state energy as a function of N. These oscillations
reflect the dynamics of a classical particle moving in the presence of the
Thomas-Fermi potential. The dynamics is regular for atoms and some dots, but in
general in the case of dots, the motion contains a chaotic component. We
compute the correlation effects. They appear at the order N ln N for atoms, in
agreement with available data. For dots, they appear at the order N.

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The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph