Fig. 1: Charged-particle beam dynamics in a Lagrange waveguide.
From: Guiding charged particles in vacuum via Lagrange points
a Schematic of a possible experimental setup, to observe charged particle Trojan bound states (bright yellow beam). A stable Lagrange point is established by twisting the electrostatic potential produced by a charged helical metallic wire when kept at a potential \({V}_{0}\). b Cross-section of the setup in (a). The electron is trapped at a stable Lagrange point and follows a helical trajectory along the \(z\) axis. Stability in trapping this charged particle is provided through the Coriolis force \({{{{{\bf{F}}}}}}_{{{{{\bf{c}}}}}}\) when viewed from the co-rotating frame. \(R\) represents the distance between the center \(C\) of the grounded metallic tube and the center of the Lagrange waveguide and \(d\) is the distance between the center \(C\) and the center of the helical wire.
