We consider the quantum many-body evolution of a homogeneous Fermi gas in three dimensions coupled semiclassical and mean-field scaling regime. study class initial data describing collective particle-hole pair excitations on ball. Using rigorous version approximate bosonization, we prove that can be approximated Fock space norm by quasifree bosonic excitations.

We describe a new class of nonequilibrium quantum many-body phenomena in the form networks caustics that dominate wave function semiclassical regime following sudden quench. It includes light cone-like propagation correlations as particular case. Caustics are singularities formed by birth and death waves hierarchy universal patterns whose natural mathematical description is via catastrophe theo...

Inverse Dynamics is used to calculate the forces and moments in joints of multibody systems investigated fields such as Biomechanics or Robotics. In a didactic spirit, this paper begins with an overview derivations kinematical dynamical equations rigid bodies from point view modern Continuum Mechanics. Then, it introduces matrix formulation for solution problems and, finally, reports simple two...

The State-Dependant Riccati Equation method has been frequently used to design suboptimal controllers applied to nonlinear dynamic systems. Different methods for local stability analysis of SDRE controlled systems of order greater than two such as the attitude dynamics of a general rigid body have been extended in literature; however, it is still difficult to show global stability properties of...

The simulation of rigid body dynamics is an area of interest both for scientific research and engineering applications. The accurate numerical solution of the underlying complementarity problems is complex. The use of the computational power of current graphics processing units (GPUs) to solve these systems seems promising. Using NVIDIA ’s CUDA technology for General-Purpose computation on Grap...