Analytical Results for Classical Axially Symmetric States of Relativistic Hydrogenic Ions in Collinear Electric and Magnetic Fields of Arbitrary Strengths

Abstract

We consider classical axially symmetric states of relativistic hydrogenic ions under collinear electric and magnetic fields of arbitrary strengths. For such Rydberg states, we study the role of relativistic effects. Our analytical results demonstrate that the primary outcome of the allowance for the relativism is an increase in the critical value of the electric field at which the ionization occurs.

Keywords

• axially symmetric states
• Rydberg states
• hydrogenic ions
• electric and magnetic fields
• relativistic effects