A Measure Theoretical Approach to Quantum Stochastic Processes

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, w...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Waldenfels, Wilhelm von (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
Σειρά:Lecture Notes in Physics, 878
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Waldenfels, Wilhelm von.  |e author. 
245 1 2 |a A Measure Theoretical Approach to Quantum Stochastic Processes  |h [electronic resource] /  |c by Wilhelm von Waldenfels. 
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490 1 |a Lecture Notes in Physics,  |x 0075-8450 ;  |v 878 
505 0 |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. 
520 |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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650 0 |a Mathematical physics. 
650 0 |a Quantum physics. 
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650 2 4 |a Quantum Physics. 
650 2 4 |a Mathematical Physics. 
650 2 4 |a Mathematical Methods in Physics. 
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830 0 |a Lecture Notes in Physics,  |x 0075-8450 ;  |v 878 
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