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Nonadiabatic geometric phase in quaternionic Hilbert space

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Abstract

We develop the theory of the nonadiabatic geometric phase, in both the Abelian and non-Abelian cases, in quaternionic Hilbert space.

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References

  1. M. V. Berry,Proc. R. Soc. London A 392, 45 (1984).

    Google Scholar 

  2. F. Wilczek and A. Zee,Phys. Rev. Lett. 56, 2111 (1984).

    Google Scholar 

  3. Y. Aharanov and J. Anandan,Phys. Rev. Lett. 58, 1593 (1987).

    Google Scholar 

  4. J. Anandan,Phys. Lett. A 133, 171 (1988).

    Google Scholar 

  5. L. P. Horwitz and L. C. Biedenharn,Ann. Phys. New York 157, 432 (1984).

    Google Scholar 

  6. S. L. Adler,Quaternionic Quantum Mechanics and Quantum Fields (Oxford University Press, New York and Oxford, 1995).

    Google Scholar 

  7. P. Lévay,Phys. Rev. A 41, 2837 (1990);J. Math. Phys. 32, 2347 (1991).

    Google Scholar 

  8. A. Peres,Phys. Rev. Lett. 42, 683 (1979).

    Google Scholar 

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Adler, S.L., Anandan, J. Nonadiabatic geometric phase in quaternionic Hilbert space. Found Phys 26, 1579–1589 (1996). https://doi.org/10.1007/BF02282121

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  • DOI: https://doi.org/10.1007/BF02282121

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