Gross-Pitaevskii近似下超流氦的体元结构和旋-巨-声子激发
Volume element structure and roton-maxon-phonon excitations in superfluid helium beyond the Gross-Pitaevskii approximation
摘要：
我们提出了一个理论，它涉及的结构和相互作用的体积元素在液氦II。该方法由两个嵌套模型通过参数空间连接。短波长部分使用基于对数波动方程的非微扰方法描述流体元素的内部结构;它表明元素的内部密度和粒子间相互作用势的类高斯行为。长波长部分是这些元素的量子多体理论，涉及它们的动力学和相互作用。我们的方法导致一个统一的描述的声子，maxon和旋子激发，并具有值得注意的协议与实验：与一个重要的参数，以适应我们再现在高精度不仅旋子最小值，但也附近的局部最大值以及声速和结构因子。
英文摘要：
We propose a theory which deals with the structure and interactions of volume elements in liquid helium II. The approach consists of two nested models linked via parametric space. The short-wavelength part describes the interior structure of the fluid element using a non-perturbative approach based on the logarithmic wave equation; it suggests the Gaussian-like behaviour of the element's interior density and interparticle interaction potential. The long-wavelength part is the quantum many-body theory of such elements which deals with their dynamics and interactions. Our approach leads to a unified description of the phonon, maxon and roton excitations, and has noteworthy agreement with experiment: with one essential parameter to fit we reproduce at high accuracy not only the roton minimum but also the neighboring local maximum as well as the sound velocity and structure factor.
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