This classic text and reference collects, in simple language and deductive form, the many formulae and methods that can be found in the scientific literature on stochastic methods. To be useful to students and practioners as a practical tool, the book is written without excessive mathematical rigour, yet restricted to those methods and approximations thereof, that can be systematized and controlled in a quantitative way. Over time, new editions have been expanded in scope for a widening readership that now encompasses all of the quantitative natural and social sciences. This fourth edition has been thoroughly updated and restructured, and features a large amount of entirely new material, including but not limited to aspects of driven stochastic systems, the application and validity of simulation methods as well as applications to financial markets.

This book offers a systematic and comprehensive exposition of the quantum stochastic methods that have been developed in the field of quantum optics. It includes new treatments of photodetection, quantum amplifier theory, non-Markovian quantum stochastic processes, quantum input--output theory, and positive P-representations. It is the first book in which quantum noise is described by a mathematically complete theory in a form that is also suited to practical applications. Special attention is paid to non-classical effects, such as squeezing and antibunching. Chapters added to the previous edition, on the stochastic Schr dinger equation, and on cascaded quantum systems, and now supplemented, in the third edition by a chapter on recent developments in various pertinent fields such as laser cooling, Bose-Einstein condensation, quantum feedback and quantum information.

This classic text and reference collects, in simple language and deductive form, the many formulae and methods that can be found in the scientific literature on stochastic methods. To be useful to students and practioners as a practical tool, the book is written without excessive mathematical rigour, yet restricted to those methods and approximations thereof, that can be systematized and controlled in a quantitative way. Over time, new editions have been expanded in scope for a widening readership that now encompasses all of the quantitative natural and social sciences. This fourth edition has been thoroughly updated and restructured, and features a large amount of entirely new material, including but not limited to aspects of driven stochastic systems, the application and validity of simulation methods as well as applications to financial markets.

This book offers a systematic and comprehensive exposition of the quantum stochastic methods that have been developed in the field of quantum optics. It includes new treatments of photodetection, quantum amplifier theory, non-Markovian quantum stochastic processes, quantum input--output theory, and positive P-representations. It is the first book in which quantum noise is described by a mathematically complete theory in a form that is also suited to practical applications. Special attention is paid to non-classical effects, such as squeezing and antibunching. Chapters added to the previous edition, on the stochastic Schrodinger equation, and on cascaded quantum systems, and now supplemented, in the third edition by a chapter on recent developments in various pertinent fields such as laser cooling, Bose-Einstein condensation, quantum feedback and quantum information.