Tunneling Times and Superluminal Tunneli

In this paper, we critically review and analyze the theoretical definitions and calculations of sub-barrier tunneling and reflection times. Our primary objective is to propose a new definition of these durations based on a recent formalism tested for various quantum collisions. The research methodology involves assessing the numerical calculations of penetration and return times during tunneling through a rectangular potential barrier. We ultimately demonstrate that our new definition for average transmission time enhances the conventional dwell-time formula. Notably, our findings support the existence of superluminal tunneling, referred to as the “Hartman effect,” which is gaining indirect experimental validation in various international locations including Cologne, Berkeley, Florence, and Vienna. Additionally, we explore alternative definitions of tunneling times, indicating the need for comprehensive theoretical analysis in the context of recent developments in the subject. This study aims to contribute to a deeper understanding of tunneling processes within quantum mechanics, highlighting surprising implications of superluminal group velocities. The paper concludes with a discussion of the broader relevance and potential impacts of these findings on both theoretical and experimental fronts.