Abstract

ie S e rie s a n d C a n o n ic a l T r a n s f o r m a tio n s in C o m p le x P h a s e S p a c e Dedicated to Prof. H. G. Schöpf on the Occasion of his 60th Birthday This paper considers the Lie series representation of the canonical transformations in a complex phase space. A condition is given which selects the canonical mappings from the Lie transformations associated with a complex-valued generating function. Some special types of mappings and some simple algebraic tools are discussed.