THE MECHANICAL BERRY PHASE AND CORRESPONDING CLASSICAL TOPOLOGICAL PHASE ANGLE

  • Recently,a new effect,which nay be called the mechanical Aharonov-Bohm effect,was suggested and verified experimentally.In this paper,we proceed to study and calculate the mechanical Berry's phase and corresponding topological phase angle.
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  • [1] M. V. Berry, Proc. R. Soc. Lorodon, A 392 (1984), 45.[2] B. Simon, Phys. Rev. Lett., 51 (1983), 2167.[3] A. J. Niemi and G. W. Semenoff, Phys, Rev. Lett., 55 (1985), 927[4] Chien-Hua Tsai and D. Neilson, Phys. Rev., A 37(1988), 619.[5] F. Wilczek and A. Zee, Phys. Rev.lett., 52(1984), 2111[6] Hua-thong Li, Phys. Rev. Lett., 58(1987), 539.[7] P. Nelson and L. Alvarez-Gaume, Comman. Math. Phys., 99(1985), 103.[8] H. Sonoda, Nucl. Phys., B266 (1986), 410.[9] A. J. Niemi, G. W. Semenoff and Y. S. Wu, Nucl. Phys., B276 (1986), 173.[10] D. Arovas, J.. R. Schrieffer, and F. Wilczek, Phys. Rev. Lett., 53(1984), 722.[11] F. D. M. Haldane and Y. S. Wu, Phys. Rev. lett., 55(1985), 2887.[12] G. W. Semenoff and P. Sonoda, Phys. Rev. lett., 57(1986), 1195.[13] G.Delacretaz et al,Phys. Rev. Lett., 56(1986), 2598[14] A.Tomita and R. Y. Chiao, Phys. Rev. Lett., 57(1986), 937[15] K.Tycko, Phys. Rev. Lett., 58(1987), 2281.[16] D.Suter et al., Phys. Rev.Lett,60(1988), 1218.[17] M.V. Berry, J. Phys, A, Marh. Gen., 18(1985), 15.
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GAO Xiao-Chun, XU Jing-Bo, QIAN Tie-Zheng and CHEN Cheng-Ming. THE MECHANICAL BERRY PHASE AND CORRESPONDING CLASSICAL TOPOLOGICAL PHASE ANGLE[J]. Chinese Physics C, 1990, 14(8): 704-710.
GAO Xiao-Chun, XU Jing-Bo, QIAN Tie-Zheng and CHEN Cheng-Ming. THE MECHANICAL BERRY PHASE AND CORRESPONDING CLASSICAL TOPOLOGICAL PHASE ANGLE[J]. Chinese Physics C, 1990, 14(8): 704-710. shu
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Received: 1900-01-01
Revised: 1900-01-01
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THE MECHANICAL BERRY PHASE AND CORRESPONDING CLASSICAL TOPOLOGICAL PHASE ANGLE

    Corresponding author: GAO Xiao-Chun,
  • Department of Physics,Zhejiang University,Hangzhou

Abstract: Recently,a new effect,which nay be called the mechanical Aharonov-Bohm effect,was suggested and verified experimentally.In this paper,we proceed to study and calculate the mechanical Berry's phase and corresponding topological phase angle.

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