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...
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| Language: | English |
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Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2014.
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| Edition: | 1st ed. 2014. |
| Series: | Lecture Notes in Physics,
878 |
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| Online Access: | https://doi.org/10.1007/978-3-642-45082-2 |
Table of Contents:
- 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.