Tunneling with Bohmian Mechanics

Abstract

This thesis explores the phenomenon of quantum tunneling through computational simulations, comparing traditional quantum mechanics with Bohmian mechanics. Quantum tunneling involves particles moving through barriers they could not cross according to classical physics, presenting one of the most captivating aspects of quantum mechanics. Our simulations assess traditional and Bohmian methods to enhance our understanding of tunneling dynamics.

The study utilizes simulations to observe how a quantum system behaves under a potential barrier, employing a Gaussian wave packet to investigate how different interpretations of quantum mechanics affect tunneling. The research primarily examines the role of the quantum potential in Bohmian mechanics, which is thought to assist in tunneling.

The results affirm the distinct approach of Bohmian mechanics, notably its use of the quantum potential, which corresponds with experimental predictions of tunneling and highlights its validity as an alternative interpretation of quantum mechanics. This thesis broadens our understanding of quantum tunneling and supports using Bohmian mechanics as a comprehensive framework capable of explaining quantum tunneling phenomena.