Quantum Processes

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.

Authors: Janßen, Martin
Features the basics of stochastic systems and their dynamics
Includes applications of methods of stochastic processes in other fields, for example econophysics or economathematics and engineering
Presents irreversible stochastic processes and their theoretical treatment

The unique features of the quantum world are explained in this book through the language of diagrams, setting out an innovative visual method for presenting complex theories.

Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of "classical" concepts. Beginning as an introductory level suitable for students, this two-volume monograph presents (1) the fundamentals and (2) the applications of the trajectory description of basic quantum processes.