A measure theoretical approach to quantum stochastic processes [electronic resource] / Wilhelm von Waldenfels.
Waldenfels, W. von (Wilhelm), 1932- author.
2014
QC174.17.M4
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Title A measure theoretical approach to quantum stochastic processes [electronic resource] / Wilhelm von Waldenfels.
Author Waldenfels, W. von (Wilhelm), 1932- author.
ISBN 9783642450822 (eBook)
3642450822 (eBook)
9783642450815
DOI https://doi.org/10.1007/978-3-642-45082-2
Published Heidelberg : Springer, 2014.
Language English
Description 1 online resource (xvii, 228 pages).
Item Number 10.1007/978-3-642-45082-2 doi
Call Number QC174.17.M4
Dewey Decimal Classification 530.1201/51542
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on online resource; title from PDF title page (SpringerLink, viewed March 20, 2014).
Series Lecture notes in physics ; 878. 0075-8450
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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.

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