Quantum Stochastics

Dr Mou-Hsiung Chang served as a Professor of Mathematical Sciences at the University of Alabama in Huntsville for twenty-eight years, where he also served as department chair for eight years, prior to joining the US Army Research Office (ARO) in 2002. He has published extensively on stochastic analysis and control and on quantum stochastics, with more than 70 refereed journal articles, 40 conference papers and technical reports, and more than 80 invited technical presentations at conferences and universities.

• Introduction and summary; 1. Operator algebras and topologies; 2. Quantum probability; 3. Quantum stochastic calculus; 4. Quantum stochastic differential equations; 5. Quantum Markov semigroups; 6. Minimal QDS; 7. Quantum Markov processes; 8. Strong quantum Markov processes; 9. Invariant normal states; 10. Recurrence and transience; 11. Ergodic theory.

'This excellent introductory book on quantum stochastics is most timely - the highly interdisciplinary book needed in this century. Dr Chang has organized and presented the material in a systematic and coherent manner … [The] material is self-contained and self-readable; ideas, concepts and topics are up-to-date, well-motivated, well presented and well associated with the classical approach: starting from the idea of a quantum system, to quantum probability space, measure, processes with quantum stochastic calculus, quantum stochastic differential equations, quantum stability, quantum semigroups, and so on. I am looking forward to using this book for my graduate course on quantum stochastic dynamic systems. I will also highly recommend it to my students and colleagues.' G. S. Ladde, University of South Florida, and founder and editor of the Journal of Stochastic Analysis and Applications