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- W3100562240 abstract "We describe a simple mechanical system that operates as a ponderomotive particle trap. The system consists of a circular hoop and a frictionless bead, with the hoop rotating about a horizontal axis lying in the plane of the hoop. The system is analyzed in the ideal case of small displacements from the minimum, and the motion of the particle is shown to satisfy the Mathieu equation. If the axis of rotation is tangential to the hoop, the system is an exact analog to the rf Paul ion trap. Various complicating factors such as anharmonic terms, friction, and noise are considered. A working model of the system was constructed using a ball-bearing rolling in a tube along the outside of a bicycle rim. The apparatus demonstrates the operation of an rf Paul trap by reproducing the dynamics of trapped atomic ions and illustrating the manner in which the electric potential varies with time." @default.
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- W3100562240 date "2009-11-01" @default.
- W3100562240 modified "2023-10-16" @default.
- W3100562240 title "A bead on a hoop rotating about a horizontal axis: A one-dimensional ponderomotive trap" @default.
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- W3100562240 doi "https://doi.org/10.1119/1.3167216" @default.
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