核反应的非平衡格林函数描述：一维平均场动力学
Towards a nonequilibrium Green's function description of nuclear reactions: one-dimensional mean-field dynamics
摘要：
非平衡格林函数方法允许量子多体系统的演化的内在一致的描述，包括不同类型的相关性。在本文中，我们专注于实际的发展需要建立一个格林函数方法的核反应。我们首先考虑在平均场近似下一维平板的对称碰撞。我们专注于实际反应模拟的重要性的两个问题。首先，在相同的方法内的反应动力学的初始状态的准备证明了绝热切换的平均场相互作用，这导致平均场基态。其次，远离空间对角线的格林函数矩阵元素的重要性进行了分析，通过一个合适的抑制过程，不会显着影响的演变元素接近对角线。远距离元素相对缺乏重要性与系统扩展有关。我们还研究了维格纳函数的演化，并定量验证擦除非对角元素对应于维格纳函数中动量空间细节的平均值。
英文摘要：
Nonequilibrium Green's function methods allow for an intrinsically consistent description of the evolution of quantal many-body body systems, with inclusion of different types of correlations. In this paper, we focus on the practical developments needed to build a Green's function methodology for nuclear reactions. We start out by considering symmetric collisions of slabs in one dimension within the mean-field approximation. We concentrate on two issues of importance for actual reaction simulations. First, the preparation of the initial state within the same methodology as for the reaction dynamics is demonstrated by an adiabatic switching on of the mean-field interaction, which leads to the mean-field ground state. Second, the importance of the Green's function matrix-elements far away from the spatial diagonal is analyzed by a suitable suppression process that does not significantly affect the evolution of the elements close to the diagonal. The relative lack of importance of the far-away elements is tied to system expansion. We also examine the evolution of the Wigner function and verify quantitatively that erasing of the off-diagonal elements corresponds to averaging out of the momentum-space details in the Wigner function.
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