KICKED HARPER MODELS AND KICKED CHARGE IN A MAGNETIC-FIELD

The symmetric kicked Harper (KH) model was originally derived as a first-order approximation (in the kicking parameter) of the problem of a kicked charge in a magnetic field (KCM). It is shown that all generalized KH models (symmetric or non-symmetric, periodic or not) can, in fact, be exactly related to KCM problems. Because of this exact relation, all the results derived recently for KH models hold straightforwardly also for the corresponding KCM problems. For the vast majority of KCM problems, however, there exist no generalized KH models related to them.