There are several different ways to motivate the discussion of the kicked harmonic oscillator. In each case it describes -- more or less approximately -- certain physical systems. In this section I discuss the most common of these model systems that finds its application for example in plasma physics [AS83]. ZASLAVSKY and co-workers discuss this approach to the problem in some detail as well [ZSUC91].
Consider the dynamics of a charged point particle in a homogeneous
stationary magnetic field and a time-dependent electric field
orthogonal to :
with real-valued constants . The electric field can be interpreted as a wave packet that is periodic both in space and time, and that consists of FOURIER-like components each of which propagates in -direction and contributes to the complete packet with equal weight.
Field configurations of this type can
be used, for instance, to describe
the beams of charged particles in storage rings under the influence of
beam-beam-interactions [Hel83,Ten83]. The applicability
in cases like this becomes more
in equation (1.1b) is reformulated in a certain way. Taking
into account that