Some New Classical and Semiclassical Models for Describing Tuneling Processes with Real-Valued Classical Trajectories

摘要

A model for describing barrier tunneling (or other classically forbidden processes) using purely real-valued classical trajectories is presented. The basic idea is to introduce an auxiliary degree of freedom that allows for fluctuations in the potential-energy surface for the original classical degrees of freedom. The model can be applied purely classically or better semiclassically (e.g., via the initial value representation). Numerical results for 1D barrier tunneling are presented to illustrate the model.