Theoretical Atomic Physics Studies: Classical Aspects of the TwoBody Problem in a Homogeneous Magnetic Field, and Electron Capture from SinglyCharged Magnesium Ions by Slow Proton Impact.
Abstract
Available from UMI in association with The British Library. We investigate classically the problem of the centreofmass separation for a twobody system with net charge in a homogeneous magnetic field. With a view to general atomic physics applications, particular attention is paid to the case where one particle is very much heavier than the other. Using a series of canonical transformations we introduce constants of the motion as the new momenta and determine the new conjugate coordinates. Alternative momenta involving a suggested nearconstant of the motion are investigated for use with a translationinvariant potential. These lead to a "near separation" in terms of two coupled particles characterised by vectors which possess a simple classical interpretation, even in the presence of an interaction potential. However we find that the coupling is not small and is not reduced when one of the particles is much heavier than the other, although the frequencies of the motions then differ widely.
 Publication:

Ph.D. Thesis
 Pub Date:
 1989
 Bibcode:
 1989PhDT.......115P
 Keywords:

 Physics: Atomic