Understanding the complex behavior of Bose-Einstein Condensates - can we simplify the models? This work analyzes the effective evolution of a one-dimensional Bose-Einstein Condensate (BEC) within a semiclassical description of quantum systems, based on expectation values of quantum dispersions and physical observables, known as momentous quantum mechanics. The research demonstrates that the most prominent features and physical parameters of the system can be determined from the dynamics of the corresponding semiclassical system. It further demonstrates that interactions with several potentials can be implemented in an intuitive way. The results provide a computationally efficient framework for studying BEC dynamics, opening avenues for exploring more complex scenarios and potential applications in quantum technologies.
Aligned with the East European Journal of Physics' focus on physics research, this paper explores the semiclassical description of Bose-Einstein Condensates. The study contributes to the understanding of quantum systems, aligning with the journal's aim to publish significant advancements in physics and related fields.