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.
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