INTEGRATION TECHNIQUES IN THE PATH INTEGRAL QUANTUM TRAJECTORY MODEL

The path integral technique is an alternative formulation of quantum mechanics that is based on a Lagrangian approach. In its exact form, it is completely equivalent to the Hamiltonian-based Schrödinger equation approach. We have used the path integral formalism to develop our Path Integral Quantum Trajectory (PIQTr) model for use in the study of charged particle dynamics. One of the challenges of the PIQTr model is the need to integrate a highly oscillatory function. Here we explore the application of several integration techniques for use in the PIQTr model and benchmark their computational requirements