| Abstract: |
| Standing waves solutions for a coupled Hartree-Fock type nonlocal
elliptic system are considered. This nonlocal type problem was
considered in the basic quantum chemistry model of small number of
electrons interacting with static nucleii which can be approximated
by Hartree or Hartree-Fock minimization problems. First, we prove
the existence of normalized solutions for different ranges of the
positive(attractive case) coupling parameter for the stationary
system. Then we extend the results to systems with an arbitrary
number of components. Finally, the orbital stability of the
corresponding solitary waves for the related nonlocal elliptic
system is also considered. |
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