Aharonov-Anandan quantum phases and Landau quantization associated with a magnetic quadrupole moment

作者：Fonseca I C; Bakke K^*

来源：Annals of Physics, 2015, 363: 253-261.

DOI：10.1016/j.aop.2015.09.027

• Magnetic quadrupole moment
• Aharonov-Anandan phase
• Scalar Aharonov-Bohm effect
• Geometric phase
• Persistent currents
• Landau quantization

The arising of geometric quantum phases in the wave function of a moving particle possessing a magnetic quadrupole moment is investigated. It is shown that an Aharonov-Anandan quantum phase (Aharonov and Anandan, 1987) can be obtained in the quantum dynamics of a moving particle with a magnetic quadrupole moment. In particular, it is obtained as an analogue of the scalar Aharonov-Bohm effect for a neutral particle (Anandan, 1989). Besides, by confining the quantum particle to a hard-wall confining potential, the dependence of the energy levels on the geometric quantum phase is discussed and, as a consequence, persistent currents can arise from this dependence. Finally, an analogue of the Landau quantization is discussed.

• 出版日期2015-12