A Measure Theoretical Approach to Quantum Stochastic Processes

• Main Author: Waldenfels, Wilhelm von (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
• Series: Lecture Notes in Physics, 878
• Subjects: Physics.; Mathematical physics.; Quantum physics.; Quantum Physics.; Mathematical Physics.; Mathematical Methods in Physics.

This monograph takes as starting point that abstract quantum stochastic processes can be understood as a quantum field theory in one space and in one time coordinate. As a result it is appropriate to represent operators as power series of creation and annihilation operators in normal-ordered form, w...

Table of Contents:

• Weyl Algebras
• Continuous Sets of Creation and Annihilation Operators
• One-Parameter Groups
• Four Explicitly Calculable One-Excitation Processes
• White Noise Calculus
• Circled Integrals
• White Noise Integration
• The Hudson-Parthasarathy Differential Equation
• The Amplifies Oscillator
• Approximation by Coloured Noise
• Index.