Solution of the Hudson-Parthasarathy equation by ordered products
The solution of the quantum stochastic differential equation of Hudson and Partasarathy with constant coefficients can easily be formulated with the help of the normal ordered product. Introducing time ordering we obtain a new representation of the solution. This new representation gives an easy acc...
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| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
2017
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| In: |
Stochastics
Year: 2017, Volume: 89, Issue: 6-7, Pages: 818-842 |
| ISSN: | 1744-2516 |
| DOI: | 10.1080/17442508.2016.1204300 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1080/17442508.2016.1204300
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| Author Notes: | Wilhelm von Waldenfels |
MARC
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| 520 | |a The solution of the quantum stochastic differential equation of Hudson and Partasarathy with constant coefficients can easily be formulated with the help of the normal ordered product. Introducing time ordering we obtain a new representation of the solution. This new representation gives an easy access to the Evans-Hudson flow and the unitary condition of Hudson and Parthasarathy. We use the measure theoretical white noise calculus. | ||
| 650 | 4 | |a 46L53 Noncommutative probability | |
| 650 | 4 | |a 83C47 Methods of quantum field theory | |
| 650 | 4 | |a Normal and time ordering | |
| 650 | 4 | |a Quantum stochastic processes | |
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