Continuous Transitions Between Quantum and Classical Motion for a Harmonic Oscillator Potential

The video shows the continuous transition between the quantum and the classical trajectories in the (x, t) configuration space for an one -dimensional harmonic oscillator potential, where the Bohm trajectories here is called quantum motion. In chemistry and solid-state physics, the scales between the microscopic and a macroscopic scale is called mesoscopic or semi-classical. (Just the opposite case of the youtube video: https://www.youtube.com/watch?v=5qvGZF6I2Hc ). Here a different coupling function is used: (exp(-bt). Watch the differences of the stability of the trajectories. For more information, please, see the article by Partha Ghose and Manoj K. Samal from the arXiv archive: arXiv:quant-ph/0104105v2 After the idea from Partha Ghose and programmed by Klaus von Bloh.