Bohm potential for the time dependent harmonic oscillator
arXiv:2101.05907 · doi:10.1063/5.0044144
Abstract
In the Madelung-Bohm approach to quantum mechanics, we consider a (time dependent) phase that depends quadratically on position and show that it leads to a Bohm potential that corresponds to a time dependent harmonic oscillator, provided the time dependent term in the phase obeys an Ermakov equation.