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Quantum Dynamical Semigroups and Decoherence
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| Zeitschriftentitel: | Advances in Mathematical Physics |
|---|---|
| Personen und Körperschaften: | |
| In: | Advances in Mathematical Physics, 2011, 2011, S. 1-16 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Hindawi Limited
|
| Schlagwörter: |
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Hellmich, Mario Hellmich, Mario |
|---|---|
| author |
Hellmich, Mario |
| spellingShingle |
Hellmich, Mario Advances in Mathematical Physics Quantum Dynamical Semigroups and Decoherence Applied Mathematics General Physics and Astronomy |
| author_sort |
hellmich, mario |
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Hellmich, Mario 1687-9120 1687-9139 Hindawi Limited Applied Mathematics General Physics and Astronomy http://dx.doi.org/10.1155/2011/625978 <jats:p>We prove a version of the Jacobs-de Leeuw-Glicksberg splitting theorem for weak<jats:sup>*</jats:sup>continuous one-parameter semigroups on dual Banach spaces. This result is applied to give sufficient conditions for a quantum dynamical semigroup to display decoherence. The underlying notion of decoherence is that introduced by Blanchard and Olkiewicz (2003). We discuss this notion in some detail.</jats:p> Quantum Dynamical Semigroups and Decoherence Advances in Mathematical Physics |
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Hindawi Limited, 2011 |
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Hindawi Limited, 2011 |
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1687-9120 1687-9139 |
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Advances in Mathematical Physics |
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| title |
Quantum Dynamical Semigroups and Decoherence |
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Quantum Dynamical Semigroups and Decoherence |
| title_full |
Quantum Dynamical Semigroups and Decoherence |
| title_fullStr |
Quantum Dynamical Semigroups and Decoherence |
| title_full_unstemmed |
Quantum Dynamical Semigroups and Decoherence |
| title_short |
Quantum Dynamical Semigroups and Decoherence |
| title_sort |
quantum dynamical semigroups and decoherence |
| topic |
Applied Mathematics General Physics and Astronomy |
| url |
http://dx.doi.org/10.1155/2011/625978 |
| publishDate |
2011 |
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1-16 |
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<jats:p>We prove a version of the Jacobs-de Leeuw-Glicksberg splitting theorem for weak<jats:sup>*</jats:sup>continuous one-parameter semigroups on dual Banach spaces. This result is applied to give sufficient conditions for a quantum dynamical semigroup to display decoherence. The underlying notion of decoherence is that introduced by Blanchard and Olkiewicz (2003). We discuss this notion in some detail.</jats:p> |
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| description | <jats:p>We prove a version of the Jacobs-de Leeuw-Glicksberg splitting theorem for weak<jats:sup>*</jats:sup>continuous one-parameter semigroups on dual Banach spaces. This result is applied to give sufficient conditions for a quantum dynamical semigroup to display decoherence. The underlying notion of decoherence is that introduced by Blanchard and Olkiewicz (2003). We discuss this notion in some detail.</jats:p> |
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| institution | DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Rs1, DE-Pl11, DE-105, DE-14, DE-Ch1, DE-L229 |
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| spelling | Hellmich, Mario 1687-9120 1687-9139 Hindawi Limited Applied Mathematics General Physics and Astronomy http://dx.doi.org/10.1155/2011/625978 <jats:p>We prove a version of the Jacobs-de Leeuw-Glicksberg splitting theorem for weak<jats:sup>*</jats:sup>continuous one-parameter semigroups on dual Banach spaces. This result is applied to give sufficient conditions for a quantum dynamical semigroup to display decoherence. The underlying notion of decoherence is that introduced by Blanchard and Olkiewicz (2003). We discuss this notion in some detail.</jats:p> Quantum Dynamical Semigroups and Decoherence Advances in Mathematical Physics |
| spellingShingle | Hellmich, Mario, Advances in Mathematical Physics, Quantum Dynamical Semigroups and Decoherence, Applied Mathematics, General Physics and Astronomy |
| title | Quantum Dynamical Semigroups and Decoherence |
| title_full | Quantum Dynamical Semigroups and Decoherence |
| title_fullStr | Quantum Dynamical Semigroups and Decoherence |
| title_full_unstemmed | Quantum Dynamical Semigroups and Decoherence |
| title_short | Quantum Dynamical Semigroups and Decoherence |
| title_sort | quantum dynamical semigroups and decoherence |
| title_unstemmed | Quantum Dynamical Semigroups and Decoherence |
| topic | Applied Mathematics, General Physics and Astronomy |
| url | http://dx.doi.org/10.1155/2011/625978 |