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摘要:
A thorough study of regular and quasi-regular polyhedra shows that the symmetries of these polyhedra identically describe the quantization of orbital angular momentum, of spin, and of total angular momentum, a fact which permits one to assign quantum states at the vertices of these polyhedra assumed as the average particle positions. Furthermore, if the particles are fermions, their wave function is anti-symmetric and its maxima are identically the same as those of repulsive particles, e.g., on a sphere like the spherical shape of closed shells, which implies equilibrium of these particles having average positions at the aforementioned maxima. Such equilibria on a sphere are solely satisfied at the vertices of regular and quasi-regular polyhedra which can be associated with the most probable forms of shells both in Nuclear Physics and in Atomic Cluster Physics when the constituent atoms possess half integer spins. If the average sizes of the constituent particles are known, then the average sizes of the resulting shells become known as well. This association of Symmetry with Quantum Mechanics leads to many applications and excellent results.
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篇名 Polyhedral symmetry and quantum mechanics
来源期刊 自然科学期刊(英文) 学科 数学
关键词 SYMMETRY POLYHEDRAL SYMMETRY Angular Momentum and POLYHEDRA Nuclear Structure and SYMMETRY ISOMORPHIC SHELL Model SHELL Clustering in Nuclei Binding Energies RADII
年,卷(期) 2014,(4) 所属期刊栏目
研究方向 页码范围 198-210
页数 13页 分类号 O1
字数 语种
DOI
五维指标
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SYMMETRY
POLYHEDRAL
SYMMETRY
Angular
Momentum
and
POLYHEDRA
Nuclear
Structure
and
SYMMETRY
ISOMORPHIC
SHELL
Model
SHELL
Clustering
in
Nuclei
Binding
Energies
RADII
研究起点
研究来源
研究分支
研究去脉
引文网络交叉学科
相关学者/机构
期刊影响力
自然科学期刊(英文)
月刊
2150-4091
武汉市江夏区汤逊湖北路38号光谷总部空间
出版文献量(篇)
1054
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0
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0
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