Semiclassical time evolution and trace formula for relativistic spin-1/2 particles

被引：75

作者：

Bolte, J ^{[1
]}

Keppeler, S ^{[1
]}

机构：

[1] Univ Ulm, Theoret Phys Abt, D-89069 Ulm, Germany

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 81卷 / 10期

关键词：

D O I：

10.1103/PhysRevLett.81.1987

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the Dirac equation in the semiclassical limit (h) over bar --> 0. A semiclassical propagator and a trace formula are derived and are shown to be determined by the classical orbits of a relativistic point particle. In addition, two phase factors enter, one of which can be calculated from the Thomas precession of a classical spin transported along the particle orbits. For the secund factor we provide an interpretation in terms of dynamical and geometric phases.

引用

页码：1987 / 1991

页数：5

共 12 条

[1] QUASI-CLASSICAL SPECTRAL SERIES OF THE DIRAC OPERATORS CORRESPONDING TO QUANTIZED 2-DIMENSIONAL LAGRANGIAN TORI [J].