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.
A study of the symmetry dilemma: Second‐order transitions
Transitions from symmetry-adapted to symmetry-broken solutions of variational problems are classified according to the nature of the discontinuity involved. Two systems in which a second-order transition occurs are studied.