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Geometric Phase of Quantum Dots in the Time-Dependent Isotropic Magnetic Field

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Abstract

By using of the invariant theory, we have studied the geometric phase of quantum dots in the time-dependent isotropic magnetic field, the dynamical and geometric phases are given, respectively.

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References

  1. Pancharatnam, S.: Proc. Indian Acad. A 44, 247 (1956)

    MathSciNet  Google Scholar 

  2. Berry, M.V.: Proc. R. Soc. Lond. A 392, 45 (1984)

    Article  MATH  ADS  Google Scholar 

  3. Aharonov, Y., Anandan, J.: Phys. Rev. Lett. 58, 1593 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  4. Samuel, J., Bhandari, R.: Phys. Rev. Lett. 60, 2339 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  5. Mukunda, N., Simon, R.: Ann. Phys. (N.Y.) 228, 205 (1993)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. Pati, A.K.: Phys. Rev. A 52, 2576 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  7. Uhlmann, A.: Rep. Math. Phys. 24, 229 (1986)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. Sjöqvist, E.: Phys. Rev. Lett. 85, 2845 (2000)

    Article  ADS  Google Scholar 

  9. Tong, D.M., et al.: Phys. Rev. Lett. 93, 080405 (2004)

    Article  ADS  Google Scholar 

  10. Lewis, H.R., Riesenfeld, W.B.: J. Math. Phys. 10, 1458 (1969)

    Article  MathSciNet  ADS  Google Scholar 

  11. Gao, X.C., Xu, J.B., Qian, T.Z.: Phys. Rev. A 44, 7016 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  12. Gao, X.C., Fu, J., Shen, J.Q.: Eur. Phys. J. C 13, 527 (2000)

    Article  ADS  Google Scholar 

  13. Gao, X.C., Gao, J., Qian, T.Z., Xu, J.B.: Phys. Rev. D 53, 4374 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  14. Shen, J.Q., Zhu, H.Y.: arXiv:quant-ph/0305057v2 (2003)

  15. Richardson, D.J., et al.: Phys. Rev. Lett. 61, 2030 (1988)

    Article  ADS  Google Scholar 

  16. Wilczek, F., Zee, A.: Phys. Rev. Lett. 25, 2111 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  17. Moody, J., et al.: Phys. Rev. Lett. 56, 893 (1986)

    Article  ADS  Google Scholar 

  18. Sun, C.P.: Phys. Rev. D 41, 1349 (1990)

    Article  ADS  Google Scholar 

  19. Sun, C.P.: Phys. Rev. A 48, 393 (1993)

    Article  Google Scholar 

  20. Sun, C.P.: Phys. Rev. D 38, 298 (1988)

    Article  Google Scholar 

  21. Sun, C.P., et al.: J. Phys. A 21, 1595 (1988)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  22. Sun, C.P., et al.: Phys. Rev. A 63, 012111 (2001)

    Article  ADS  Google Scholar 

  23. Chen, G., Li, J.Q., Liang, J.Q.: Phys. Rev. A 74, 054101 (2006)

    Article  ADS  Google Scholar 

  24. Chen, Z.D., Liang, J.Q., Shen, S.Q., Xie, W.F.: Phys. Rev. A 69, 023611 (2004)

    Article  ADS  Google Scholar 

  25. He, P.B., Sun, Q., Li, P., Shen, S.Q., Liu, W.M.: Phys. Rev. A 76, 043618 (2007)

    Article  ADS  Google Scholar 

  26. Li, Z.D., Li, Q.Y., Li, L., Liu, W.M.: Phys. Rev. E 76, 026605 (2007)

    Article  ADS  Google Scholar 

  27. Niu, Q., Wang, X.D., Kleinman, L., Liu, W.M., Nicholson, D.M.C., Stocks, G.M.: Phys. Rev. Lett. 83, 207 (1999)

    Article  ADS  Google Scholar 

  28. Fan, H.Y.: Phys. Lett. A 126, 145 (1987)

    Article  MathSciNet  Google Scholar 

  29. Wei, J., Norman, E.: J. Math. Phys. 4, 575 (1963)

    Article  MATH  MathSciNet  ADS  Google Scholar 

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Correspondence to Zhao-Xian Yu.

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Yu, ZX., Jiao, ZY. Geometric Phase of Quantum Dots in the Time-Dependent Isotropic Magnetic Field. Int J Theor Phys 49, 652–656 (2010). https://doi.org/10.1007/s10773-010-0245-1

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  • DOI: https://doi.org/10.1007/s10773-010-0245-1

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