  Deterministic processes form an important building block of several classes
of processes. We provide a method to classify deterministic Hunt processes.
Within this framework we characterize different subclasses (e.g. Feller) and
construct some (counter-)examples. In particular the existence of a Hunt
semimartingale (on R) which is not an It\^o process in the sense of Cinlar,
Jacod, Protter and Sharpe (1980) is proven.
