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Application of the Kirchhoff-Helmholtz Formula to the Evaluation of Wave Functions in Mesoscopic Systems

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Transport Phenomena in Mesoscopic Systems

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 109))

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Abstract

The Kirchhoff-Helmholtz (KH) integral Formula is useful to solve the Schrödinger equation for electrons with arbitrary boundary conditions. The Green function which is involved in KH formula in the presence of a magnetic field is expressed in a closed form in term of the Whittaker function. As examples, the wave functions are computed in the devices of the Hall resistance and the coherent magnetic focusing.

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References

  1. K, Kawamura, Z. Physik B 30 1 (1978).

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  2. T. Ueta, Proc. Int. Sympo. on Science and Technology of Mesoscopic Structures, Nara Nov. 6–8, 1991 (Springer Verlag, Tokyo, 1992) to be published.

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Author information

Authors and Affiliations

  1. Department of Physics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223, Japan

    K. Kawamura (Faculty of Science and Technology), T. Ueta (Faculty of Science and Technology) & H. Sawano (Faculty of Science and Technology)

Authors
  1. K. Kawamura
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  2. T. Ueta
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  3. H. Sawano
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Editor information

Editors and Affiliations

  1. Department of Physics, Faculty of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan

    Hidetoshi Fukuyama

  2. Institute for Solid State Physics, University of Tokyo, 7-22-1 Roppongi, Minato-ku, Tokyo 106, Japan

    Tsuneya Ando

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© 1992 Springer-Verlag Berlin Heidelberg

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Kawamura, K., Ueta, T., Sawano, H. (1992). Application of the Kirchhoff-Helmholtz Formula to the Evaluation of Wave Functions in Mesoscopic Systems. In: Fukuyama, H., Ando, T. (eds) Transport Phenomena in Mesoscopic Systems. Springer Series in Solid-State Sciences, vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84818-6_15

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  • DOI: https://doi.org/10.1007/978-3-642-84818-6_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84820-9

  • Online ISBN: 978-3-642-84818-6

  • eBook Packages: Springer Book Archive

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