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

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

Abstract
HTML
Reference
Related

PDF

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

[1]

. Pancharatnam S. Pro. Indian Acad. Sci . , 1956 , A44 :2472. Berry M V. Pro. R. Soc. Lond. , 1984 , A392 :45—573. Raffacle Resta. J . Phys. ,Condens. Matter , 2000 , 12 :R107—R1434. Ge Y C ,Child M S. Phys. Rew. Lett . , 1997 , 78 :25075. Zak J . Europhys. Lett . , 1989 , 9(7) :615—6206. Aharonov Y, Popenscu S , Reznik B et al . Phys. Rew. Lett . , 2004 ,92 :0204017. James Chee. Phys. Lett . 2000 ,A275 :473—4808. YING Zu-Jian , WANG Shun-Jin , ZHANG Wen-Zhong. Chin. Phys.Lett . , 1999 , 16 (6) :391—3939. WANG Shun-Jin. Progress in Physics , 1999 , 19 (4) : 331—370 ( inChinese)(王顺金. 物理学进展, 1999 , 19 (4) :331—370)10. Berry M V. J . Phys. ,Math. Gen. , 1985 , A18 :15—27

[1]	YE Wei . Possible Dependence of Dissipation Strength on Angular Momentum. Chinese Physics C, 2006, 30(8): 759-760.
[2]	LIU Chang-Long , LU Yi-Ying , YIN LI . Effects of Additional Vacancy-Like Defects Produced by Ion Impealations on Boron Thermal Diffusion in Silicon. Chinese Physics C, 2005, 29(11): 1107-1111.
[3]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[4]	PENG Quan-Ling , SUN Jian , ZHAO Guang-Yuan , SHI Cai-Tu . Principle and Software Design of Helmhotz Coil Measurement System. Chinese Physics C, 2001, 25(9): 920-925.
[5]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[6]	Chen Zhongqiu , Shao Changgui , Ma Weichuan . Calculation of Wilson Loop Functionals for Classical and Quantum Gravities. Chinese Physics C, 1998, 22(3): 217-224.
[7]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[8]	Xu Jianming . Matching Problem of Lattice with Transverse Coupling. Chinese Physics C, 1995, 19(1): 73-81.
[9]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.
[10]	ZHU Xiang , SHEN Wen-Qing , HU Xiao-Qing , ZHU Yong-Tai , WANG Bing . A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C, 1990, 14(9): 835-841.
[11]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.
[12]	WU SHI-SHU . ON NUCLEAR SINGLE-PARTICLE POTENTIALS（Ⅲ）SINGLEPARTICLE ENERGIES DETERMINED BY THE NONHERMITIAN POTENTIAL U_αβ=M_αβ（ε_β）. Chinese Physics C, 1979, 3(4): 469-483.

Access

Get Citation

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.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3262)
PDF Downloads(542)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

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.