| Publication type: |
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Preprint, Working Paper, ... |
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| Subject: |
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Mathematics/Mathematical Physics
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| Title: |
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Higher order terms for the quantum evolution of a Wick observable within the Hepp method |
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| Author(s): |
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Sébastien Breteaux ( ) 1 |
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| Laboratory: |
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| Abstract: |
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The Hepp method is the coherent state approach to the mean field dynamics for bosons or to the semiclassical propagation. A key point is the asymptotic evolution of Wick observables under the evolution given by a time-dependent quadratic Hamiltonian. This article provides a complete expansion with respect to the small parameter ε > 0 which makes sense within the infinite-dimensional setting and fits with finite-dimensional formulae. |
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| Fulltext language: |
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English |
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| Production date: |
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2011-02-18 |
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| Keyword(s): |
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mean field limit – semiclassical limit – coherent states – squeezed states |
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| Classification: |
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81R30; 35Q40; 81S10; 81S30 |
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