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02811nam a22004815i 4500 |
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|a 9783642450822
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|a 10.1007/978-3-642-45082-2
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|a QC173.96-174.52
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|a 530.12
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|a Waldenfels, Wilhelm von.
|e author.
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|a A Measure Theoretical Approach to Quantum Stochastic Processes
|h [electronic resource] /
|c by Wilhelm von Waldenfels.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2014.
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|a XVII, 228 p.
|b online resource.
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|a text
|b txt
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|a Lecture Notes in Physics,
|x 0075-8450 ;
|v 878
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|a 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.
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|a 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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|a Physics.
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|a Mathematical physics.
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|a Quantum physics.
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|a Physics.
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|a Quantum Physics.
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|a Mathematical Physics.
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|a Mathematical Methods in Physics.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783642450815
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|a Lecture Notes in Physics,
|x 0075-8450 ;
|v 878
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|u http://dx.doi.org/10.1007/978-3-642-45082-2
|z Full Text via HEAL-Link
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|a ZDB-2-PHA
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|a ZDB-2-LNP
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|a Physics and Astronomy (Springer-11651)
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