This paper deals with the formation control of a group of point masses subject to ideal Coulomb friction. We propose a discontinuous controller which provides a solution to the exact formation problem in the presence of ideal Coulomb friction.

We introduce a family of lattices for which the Hubbard model and its natural extensions can be quasiexactly solved, i.e., solved for the ground and low energy states. In particular, we show rigorously that the ground state of the Hubbard model with off-site Coulomb repulsions on a decorated Kagomè lattice is an ordered array of local currents. The low energy theory describing this chiral state...

Barrier suppression ionization and wave-packet-spreading models are used to describe to first order in a perturbative expansion the quantum-mechanical interaction between a photodetached electron wave packet and its parent nucleus in the presence of a very strong laser field. The attraction between the wave packet and the nucleus (the first-order approximation to the dipole acceleration) is int...

As a model of a neutron halo nucleus we consider a neutron bound to an inert core by a zero range force. We study the breakup of this simple nucleus in the Coulomb field of a target nucleus. In the post-form DWBA (or, in our simple model CWBA (“Coulomb Wave Born Approximation”)) an analytic solution for the T -matrix is known. We study limiting cases of this T -matrix. As it should be, we recov...

The Coulomb dissociation method to obtain the astrophysical S-factor, S 17 (0), for the 7 Be(p, γ) 8 B reaction at solar energies is investigated by analysing the recently measured data on the breakup reaction 208 Pb(8 B, 7 Be p) 208 Pb at 46.5 MeV/A beam energy. Breakup cross sections corresponding to E1, E2 and M 1 transitions are calculated with a theory of Coulomb excitation that includes t...