Time-dependent pseudopotential and its application for description of the everaged motion of the charged particles. Part. I

The series of publications describes a new method to control the movement of the charged particles by a high frequency electric fields. This new class of a high frequency electric fields is characterized by pseudopotentials slowly evolving in time. Using the developed general theory a new class of mass spectrometric devices is proposed - i. e., the ion guides which use the said high frequency electric fields with Archimedean properties for its pseudopotentials. It is demonstrated that the proposed ion guides really work using the numerical simulations of some test example.