DIRAC-LIKE BEHAVIOR OF A NONRELATIVISTIC TIGHT-BINDING HAMILTONIAN IN ONE DIMENSION

被引：39

作者：

CANNATA, F

FERRARI, L

RUSSO, G

机构：

[1] IST NAZL PHYS NUCL,I-40126 BOLOGNA,ITALY

[2] GNSM,I-40126 BOLOGNA,ITALY

来源：

SOLID STATE COMMUNICATIONS | 1990年 / 74卷 / 04期

关键词：

Quantum Theory;

D O I：

10.1016/0038-1098(90)90192-E

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We study a linear periodic chain using opposite-parity wave-functions, localized in alternative sites, as a tight-binding LCAO basis. In the first nearest-neighbour approximation and in the continuum limit, we show that the 1-dimensional equation for the quantum amplitudes becomes Dirac-like. We study the electron-hole dynamics in this "relativistic" framework. We discuss in particular the "zitterbewegung" and the limit of vanishing "rest mass". © 1990.

引用

页码：309 / 312

页数：4

共 11 条

[1] ZITTERBEWEGUNG AND THE INTERNAL GEOMETRY OF THE ELECTRON [J].