The Complexity of Bohmian Positron Dynamics Inside a Chiral Carbon Nanotube

Explore the intricate dynamics of 1-MeV positrons channeling through a short chiral single-wall carbon nanotube (11, 9) in this comprehensive lecture. Delve into both classical and quantum treatments of the problem, examining spatial channeling functions, distributions of channeled positrons, and caustic lines of trajectory families. Investigate the solution to the one-dimensional time-dependent Schrödinger equation for an incident positron represented by a wide Gaussian wave packet. Analyze the distribution of singularities in the quantum phase function and their impact on the quantum potential. Study Bohm positron trajectories and their finite-time Lyapunov exponents, uncovering the complex nature of Bohmian positron dynamics that lies between regular and chaotic behavior.