TY  - BOOK
AU  - Waldenfels,Wilhelm
ED  - SpringerLink (Online service)
TI  - A Measure Theoretical Approach to Quantum Stochastic Processes
T2  - Lecture Notes in Physics,
SN  - 9783642450822
AV  - QC173.96-174.52 
U1  - 530.12 23
PY  - 2014///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - Physics
KW  - Quantum theory
KW  - Mathematical physics
KW  - Quantum Physics
KW  - Mathematical Physics
KW  - Mathematical Methods in Physics
N1  - 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
N2  - 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, which can be achieved using classical measure theory.   Considering in detail four basic examples (e.g. a two-level atom coupled to a heat bath of oscillators), in each case the Hamiltonian of the associated one-parameter strongly continuous group is determined and the spectral decomposition is explicitly calculated in the form of generalized eigen-vectors.   Advanced topics include the theory of the Hudson-Parthasarathy equation and the amplified oscillator problem. To that end, a chapter on white noise calculus has also been included
UR  - http://dx.doi.org/10.1007/978-3-642-45082-2
ER  -