经典基态的新对偶关系
New Duality Relations for Classical Ground States
摘要：
我们推导出新的对偶关系，链接的能量与一类软对潜在的相应的能量的双重（傅立叶变换）潜在的配置。我们应用它们显示如何的经典基态的短程电位的信息可以用来得出新的结论的性质的基态的长程电位，反之亦然。他们还导致界限上的T=0系统的能量在密度区间的相位共存，识别的一维系统，表现出无限数量的"相变”，和一个猜想有关的基态的纯排斥单调的潜力。
英文摘要：
We derive new duality relations that link the energy of configurations associated with a class of soft pair potentials to the corresponding energy of the dual (Fourier-transformed) potential. We apply them by showing how information about the classical ground states of short-ranged potentials can be used to draw new conclusions about the nature of the ground states of long-ranged potentials and vice versa. They also lead to bounds on the T=0 system energies in density intervals of phase coexistence, the identification of a one-dimensional system that exhibits an infinite number of ``phase transitions," and a conjecture regarding the ground states of purely repulsive monotonic potentials.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
