Knotted zeros in the quantum states of hydrogen

被引：32

作者：

Berry, M ^{[1
]}

机构：

[1] Univ Bristol, HH Wills Phys Lab, Bristol BS8 1TL, Avon, England

来源：

FOUNDATIONS OF PHYSICS | 2001年 / 31卷 / 04期

关键词：

D O I：

10.1023/A:1017521126923

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Complex superpositions of degenerate hydrogen wavefunctions for the n th energy level can possess zero lines (phase singularities) in the form of knots and links. A recipe is given for constructing any torus knot. The simplest cases are constructed explicitly: the elementary link, requiring n greater than or equal to 6, and the trefoil knot, requiring it greater than or equal to 7. The knots are threaded by multistranded twisted chains of zeros. Some speculations about knots in general complex quantum energy eigenfunctions are presented.

引用

页码：659 / 667

页数：9

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