A note on the wavefunctions of the electron in a homogeneous magnetic field and the plane-wave state

摘要: In theoretical studies of potential scattering beam electrons in the presence a magnetic field it is necessary to obtain wavefunctions inside which satisfy free-wave boundary condition outside field. An explicit solution having this property constructed using eigenfunctions and assuming that vanishes sufficiently rapidly across at any finite distance. The result independent distance geometry boundary. Further, shows how preparation initial states given energy may be controlled by adjusting momentum incident beam.