Strict Periodic Extreme Lattices
Strict Periodic Extreme Lattices
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严格周期极值格
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Achill Schurmann
中科院分区：
文献类型：
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作者：
Achill Schurmann
如果晶格不能被局部修改以产生更好的周期球面堆积，那么它被称为周期极值。如果它的球面堆积密度是周期点集中的孤立局部最优点，则称其为条纹周期极值。在这篇注记中，我们证明了一个格是周期极值的当且仅当它是极值的，即格中的局部最优。此外，我们还证明了格是严格周期极值当且仅当它是极值且非浮动的。
A lattice is called periodic extreme if it cannot locally be modified to yield a better periodic sphere packing. It is called stric t periodic extreme if its sphere packing density is an isolated local optimum among pe riodic point sets. In this note we show that a lattice is periodic extreme if and o ly if it is extreme, that is, locally optimal among lattices. Moreover, we show t hat a lattice is strict periodic extreme if and only if it is extreme and non-floating .