Linear ion trap with a deterministic voltage of the general form

An analysis of the stability zones of a linear ion trap in the case of applying the voltage of the common form to the electrodes has been presented. The possibility of the localization of ions for specific types of periodic (but not harmonic) signals has been investigated. It has been shown that, when changing the types of temporal functions of the applied voltage the control by both trapping and dynamics of ions in a linear radiofrequency (RF) trap occurs, while preserving its design. The latest developments present new possibilities of implementing devices based on single ions, e.g., quantum frequency standards and quantum processors.