Abstract
In a previous work, quasidiscrete quantum Markov processes were considered. In order to describe certain continuum situations, the concept of a regular quantum Markov process is now developed. First, the general theory of such processes will be presented. Then, methods for constructing these processes will be considered. To accomplish this, the classical construction of measures on trajectory spaces to complex measures is generalized. A class of processes that have an associated family of transition amplitude operators is constructed. The paper concludes with various examples that illustrate the theory.
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