Probing Wigner rotations for any group

JOURNAL OF GEOMETRY AND PHYSICS

卷:129

Article

Oblak, Blagoje¹ 

[1] ETH, Inst Theoret Phys, CH-8093 Zurich, Switzerland

关键词: Unitary representations;    Berry phases;    Thomas precession;    Holonomies;   

DOI  :  10.1016/j.geomphys.2018.03.008

来源: Elsevier

【 摘 要 】

Wigner rotations are transformations that affect spinning particles and cause the observable phenomenon of Thomas precession. Here we study these rotations for arbitrary symmetry groups with a semi-direct product structure. In particular we establish a general link between Wigner rotations and Thomas precession by relating the latter to the holonomies of a certain Berry connection on a momentum orbit. Along the way we derive a formula for infinitesimal, Lie-algebraic transformations of one-particle states. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free