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

  • K. Kawamura
  • T. Ueta
  • H. Sawano
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 109)

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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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • K. Kawamura
    • 1
  • T. Ueta
    • 1
  • H. Sawano
    • 1
  1. 1.Department of PhysicsKeio UniversityYokohama 223Japan

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