Higher order terms for the quantum evolution of a Wick observable within the Hepp method

Higher order terms for the quantum evolution of a Wick observable within the Hepp method
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Hepp 方法中 Wick 可观测量的量子演化的高阶项

DOI:
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发表时间:
2011
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通讯作者:
S. Breteaux
S. Breteaux
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文献类型:
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作者:
S. Breteaux

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Hepp方法是研究玻色子平均场动力学或半经典传播的相干态方法。其中一个关键点是在含时二次哈密顿量的演化下Wick观测量的渐近演化。这篇文章提供了一个完整的扩展,关于小参数“> 0,这是有意义的无限维设置和有限维公式。
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 " > 0 which makes sense within the infinite-dimensional setting and fits with finite-dimensional formulae.