Variational method for inner-shell excitation in heavy-ion collisions
In the framework of the monopole model we study a perturbation method for inner-shell excitation which covers the whole projectile velocity region. This is achieved by introducing a velocity-dependent variational parameter and minimizing the time-dependent perturbation. We apply the method to theK-excitation of nonrelativistic systems.
Numerical solution of the time-dependent Schrodinger equation for monopole polarisation in ion-atom collisions
An explicit, second-order accurate and stable finite difference algorithm for the solution of the time-dependent Schrodinger equation in full coordinate space including infinity, based on the leapfrog method, is presented. The problem of monopole polarisation (1+1 dimensions) is used in order to demonstrate the difficulties of the standard bound-state basis expansion method and of the variational method with bound-state trial functions at intermediate collision velocities.
The unfolded universe of elementary particles. A geometric explanation of the standard model structure
We propose a geometric explanation of the standard model of Glashow, Weinberg and Salam for the known elementary particles. Our model is a generic Quantum Field Theory in dimension four, obtained by developing along a Lorentz sub-manifold the lagrangian of Einstein and Dirac in dimension twelve. The main mechanism which gives birth to the standard model is a certain gauge fixing of triality, which permits to identify the multiplicity of fermions, as seen from the four dimensional world, with the eight unseen dimensions of the generating universe. In this way we get the known tables of particles, explaining the series of fermions and the gauge bosons. We suggest that the Higgs field dynamics could appear through a bosonization of the right handed neutrino and correspond to a displacement in the unseen dimensions. We also propose hypotheses for dark matter, and perhaps dark energy. Then we suggest predictions to go beyond the standard model.