This book presents Markov and quantum processes as two sides of a coin called generated
stochastic processes. It deals with quantum processes as reversible stochastic processes
generated by one-step unitary operators while Markov processes are irreversible stochastic
processes generated by one-step stochastic operators. The characteristic feature of quantum
processes are oscillations interference lots of stationary states in bounded systems and
possible asymptotic stationary scattering states in open systems while the characteristic
feature of Markov processes are relaxations to a single stationary state. Quantum processes
apply to systems where all variables that control reversibility are taken as relevant
variables while Markov processes emerge when some of those variables cannot be followed and
are thus irrelevant for the dynamic description. Their absence renders the dynamic
irreversible.A further aim is to demonstrate that almost any subdiscipline of theoretical
physics can conceptually be put into the context of generated stochastic processes. Classical
mechanics and classical field theory are deterministic processes which emerge when fluctuations
in relevant variables are negligible. Quantum mechanics and quantum field theory consider
genuine quantum processes. Equilibrium and non-equilibrium statistics apply to the regime where
relaxing Markov processes emerge from quantum processes by omission of a large number of
uncontrollable variables. Systems with many variables often self-organize in such a way that
only a few slow variables can serve as relevant variables. Symmetries and topological classes
are essential in identifying such relevant variables.The third aim of this book is to provide
conceptually general methods of solutions which can serve as starting points to find relevant
variables as to apply best-practice approximation methods. Such methods are available through
generating functionals. The potential reader is a graduate student who has heard already a
course in quantum theory and equilibrium statistical physics including the mathematics of
spectral analysis (eigenvalues eigenvectors Fourier and Laplace transformation). The reader
should be open for a unifying look on several topics.
