Twisted localized solutions of the Dirac equation: Hopfionlike states of relativistic electrons

被引：12

作者：

Bialynicki-Birula, Iwo ^{[1
]}

Bialynicka-Birula, Zofia ^{[2
]}

机构：

[1] Polish Acad Sci, Ctr Theoret Phys, Aleja Lotnikow 32-46, PL-02668 Warsaw, Poland

[2] Polish Acad Sci, Inst Phys, Lotnikow 32-46, PL-02668 Warsaw, Poland

来源：

PHYSICAL REVIEW A | 2019年 / 100卷 / 01期

关键词：

Compendex;

D O I：

10.1103/PhysRevA.100.012108

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

All known solutions of the Dirac equation describing states of electrons endowed with angular momentum are very far from our notion of the electron as a spinning charged bullet because they are not localized in the direction of propagation. We present here normalizable analytic exact solutions, eigenstates of the total angular momentum component Mz, that come very close to this notion. These solutions of the Dirac equation have also intricate topological properties similar to the hopfion solutions of the Maxwell equations.

引用

页数：5

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