原子核和原子的复杂几何

Topology and Physics Pub Date : 2016-09-09 DOI:10.1142/S0217751X18300223

M. Atiyah, N. Manton

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引用次数: 11

摘要

我们提出了一个新的几何模型的物质，其中中性原子是由紧凑，复杂的代数表面建模。质子和中子数是由表面的陈氏数决定的。同样地，它们是由霍奇数或贝蒂数的组合决定的。代数曲面上的几何约束只允许给定质子数的有限中子数范围。这个范围包括已知的同位素。

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Complex geometry of nuclei and atoms

We propose a new geometrical model of matter, in which neutral atoms are modelled by compact, complex algebraic surfaces. Proton and neutron numbers are determined by a surface’s Chern numbers. Equivalently, they are determined by combinations of the Hodge numbers, or the Betti numbers. Geometrical constraints on algebraic surfaces allow just a finite range of neutron numbers for a given proton number. This range encompasses the known isotopes.

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Topology and Physics

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