From Fermions to Waves: Probing Quantum Physics in Confined Systems

This book delves into quantum oscillations in degenerate Fermi gases confined within low-dimensional or spatially restricted systems. The interplay between quantum statistics, confinement potentials, and external magnetic fields produces rich collective phenomena, from shell effects and magnetization plateaus to novel transport properties. Linking microscopic fermion dynamics to macroscopic observables through analytical models and numerical simulations, it shows how confinement alters the density of states, yielding discrete oscillations absent in bulk matter. With applications to nanostructures, quantum dots, and ultracold atomic gases, it provides theoretical insight and a solid framework for understanding quantum behavior in confined fermionic systems. An essential resource for physicists, researchers, and advanced students in condensed matter, quantum gases, and mesoscopic systems.