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A Measure Theoretical Approach to Quantum Stochastic Processes (Paperback)
A Measure Theoretical Approach to Quantum Stochastic Processes (Paperback): Wilhelm Waldenfels
A Measure Theoretical Approach to Quantum Stochastic Processes (Paperback): Wilhelm Waldenfels

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A Measure Theoretical Approach to Quantum Stochastic Processes (Paperback)

Wilhelm Waldenfels

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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.

General

Imprint: Springer
Country of origin: United States
Release date: December 2013
Authors: Wilhelm Waldenfels
Dimensions: 234 x 156 x 13mm (L x W x T)
Format: Paperback - Trade
Pages: 248
ISBN-13: 978-3-642-45083-9
Barcode: 9783642450839
Categories: Promotions
Books > Science & Mathematics > Mathematics > Applied mathematics
Books > Science & Mathematics > Mathematics > Applied mathematics > General
Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN: 3-642-45083-0

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