Rotating saddle trap: A Coriolis force in an inertial frame

Abstract

Particles in rotating saddle potentials exhibit precessional motion which, up to now, has been explained by explicit computation. We show that this precession is due to a hidden Coriolis-like force which, unlike the standard Coriolis force, is present in the inertial frame. We do so by finding a hodograph-like "guiding center" transformation using the method of normal form.

17 pages, 2 figures

References in corpus (5)

• The Rolling Motion of a Ball on a Surface. New Integrals and Hierarchy of Dynamics
• Rotating saddle trap as Foucault's pendulum
• Brouwer's problem on a heavy particle in a rotating vessel: wave propagation, ion traps, and rotor dynamics
• Trojan states of electrons guided by Bessel beams
• Trapping massless Dirac particles in a rotating saddle

Cited by in corpus (4)

• Particle motion in circularly polarized vacuum pp waves
• From rotating fluid masses and Ziegler's paradox to Pontryagin- and Krein spaces and bifurcation theory
• The Mechanical Paul Trap: Introducing the Concept of Ion Trapping
• The ponderomotive Lorentz force