Nonadiabatic Geometric Phase and Hannay's Angle of the Nonautonomous Landau System in a Rotating Magnetic Field

SONG Yuan-Jun; WANG Shun-Jin; ZHANG Guang-Biao

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2005, Vol. 29> Issue(7) : 639-643

Nonadiabatic Geometric Phase and Hannay's Angle of the Nonautonomous Landau System in a Rotating Magnetic Field

Department of Physics,Sichuan University,610064,Chengdu,China2 Department of physics,Hebei North University,Zhangjiakou,075000,China3 Department of Modern Physics,Lanzhou University,730000,Lanzhou,China4 Nuclear Theory Center of HIRFL of Chhina,730000,Lanzhou,China

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Abstract：
Using algebraic dynamics, the Landau system in a rotating magnetic field has been solved and the general geometric phase is calculated. The classical correspondence between the quantum geometric phase and Hannay angle related to gauge potentials is established. The relation between nonadiabaticity and nonperiodicity is investigated numerically.

References

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SONG Yuan-Jun, WANG Shun-Jin and ZHANG Guang-Biao. Nonadiabatic Geometric Phase and Hannay's Angle of the Nonautonomous Landau System in a Rotating Magnetic Field[J]. Chinese Physics C, 2005, 29(7): 639-643.

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Received: 2004-09-14
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

Nonadiabatic Geometric Phase and Hannay's Angle of the Nonautonomous Landau System in a Rotating Magnetic Field

Corresponding author: WANG Shun-Jin,

Department of Physics,Sichuan University,610064,Chengdu,China2 Department of physics,Hebei North University,Zhangjiakou,075000,China3 Department of Modern Physics,Lanzhou University,730000,Lanzhou,China4 Nuclear Theory Center of HIRFL of Chhina,730000,Lanzhou,China

Received Date: 2004-09-14
Accepted Date: 1900-01-01
Available Online: 2005-07-05

Abstract: Using algebraic dynamics, the Landau system in a rotating magnetic field has been solved and the general geometric phase is calculated. The classical correspondence between the quantum geometric phase and Hannay angle related to gauge potentials is established. The relation between nonadiabaticity and nonperiodicity is investigated numerically.