Lattice Ion Trap: Classical and Quantum Description of a Possible Collision Mechanism for Deuterons in Metal Lattices

The dynamics of deuterons inside a palladium lattice around tetrahedral sites at high deuterium concentration is studied by using both a classical description and a quantum mechanical representation, and the results are compared. The classical representation takes advantage of the similarity between the electrodynamic confinement of charged particles stored in a quadrupolar radio-frequency trap and the palladium lattice. The quantum mechanical description of the dynamics of a charged particle interacting with another charged particle within a lattice radio-frequency trap is carried out by solving the time-dependent Schrödinger equation with a numerical procedure. Both descriptions produce an interaction effect between the deuterons inside the metal lattice.