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Geometric phases for wave packets in a uniform magnetic field

Quantum Physics 2009-11-07 v1

Abstract

A wave packet of a charged particle always make cyclic circular motion in a uniform magnetic field, just like a classical particle. The nonadiabatic geometric phase for an arbitrary wave packet can be expressed in terms of the mean value of a number operator. For a large class of wave packets, the geometric phase is proportional to the magnetic flux encircled by the orbit of the wave packet. For more general wave packets, however, the geometric phase contains an extra term.

Keywords

Cite

@article{arxiv.quant-ph/0206036,
  title  = {Geometric phases for wave packets in a uniform magnetic field},
  author = {Qiong-Gui Lin},
  journal= {arXiv preprint arXiv:quant-ph/0206036},
  year   = {2009}
}

Comments

REVTeX4, 7 pages, no figure

R2 v1 2026-07-22T19:35:10.610Z