Multiconfiguration second-order perturbation theory, including relativistic effects and spin-orbit coupling, has been employed to investigate the nature of the chemical bonding in the ground state of Tc(2) and Re(2). The ...

We study an elliptic system of the form Lu = vertical bar v vertical bar(p-1) v and Lv = vertical bar u vertical bar(q-1) u in Omega with homogeneous Dirichlet boundary condition, where Lu := -Delta u in the case of a ...

We derive general rigorous lower bounds for the average ground state energy per site e ((d)) of the quantum and classical Edwards-Anderson spin-glass model in dimensions d=2 and d=3 in the thermodynamic limit. For the ...

Ground-state energies for confined H2 molecule are computed using the variational method. The approach proposed here uses a molecular wave function of the valence bond type, written as the sum of the covalent term and the ...

We consider here solutions of the nonlinear fractional Schr¨odinger equation ε2s(− )su + V (x)u = up. We show that concentration points must be critical points for V . We also prove that if the potential V is coercive ...

It is well known that the scalar field equationΔu−u+up=0inRN,N⩾3, admits ground state solutions if and only if 1p(N+2)/(N−2) and that for each fixed p in this range, there corresponds a unique ground state (up to translation). ...

State estimation is of crucial importance to mobile robotics since it determines in a great measure its ability to model the world from noisy observations. In order to quantitatively evaluate state-estimation methods, ...

The Gross-Pitaevskii equation for Bose-Einstein condensation (BEC) in two space dimensions under the action of a harmonic oscillator trap potential for bosonic atoms with attractive and repulsive interparticle interactions ...