理想纽结中扭动的拟量子化
Quasi-quantization of writhe in ideal knots
摘要：
最紧密的构象，发现由SONO算法，所有交替总理结多达10个交叉的扭动值进行了分析。扭曲值的分布被示出为集中在等距水平周围。正如Cerf和Stasiak所预测的那样，扭动量子被证明接近于有理4/7值。定量地分析了n ~*（4/7）级扭谱图中扭谱值的偏差。讨论了扭量子化现象的后果。
英文摘要：
The values of writhe of the most tight conformations, found by the SONO algorithm, of all alternating prime knots with up to 10 crossings are analysed. The distribution of the writhe values is shown to be concentrated around the equally spaced levels. As predicted by Cerf and Stasiak the writhe quantum is shown to be close to the rational 4/7 value. The deviation of the writhe values from the n*(4/7) writhe levels scheme is analysed quantitatively. Consequences of the writhe quantization phenomenon are discussed.
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