Geometric phases for wave packets in a uniform magnetic field

Details Geometric phases for wave packets in a uniform magnetic field Geometric phases for wave packets in a uniform magnetic field

2002-06-06

arxiv.org/abs/quant-ph/0206036v1

Phys. Lett. A 298 (2002) 67-72

Physics

Quantum Physics

REVTeX4, 7 pages, no figure

Scientific paper

10.1016/S0375-9601(02)00479-6

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.

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