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

  • 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.
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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.
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. shu
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Received: 2004-09-14
Revised: 1900-01-01
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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

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.

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