@article{696652, author = {Waldenfels, W. von}, url = {http://library.usi.edu/record/696652}, title = {A measure theoretical approach to quantum stochastic processes [electronic resource] /}, abstract = {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.}, doi = {https://doi.org/10.1007/978-3-642-45082-2}, recid = {696652}, pages = {1 online resource (xvii, 228 pages).}, }