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