Quantum-Mechanical Study of Skipping Orbits of Electrons in Magnetic Fields

抄録

Behavior of an electron beam injected from a waveguide into a semi-infinite two-dimensional plane in magnetic fields is quantum-mechanically studied. When the ratio of transverse to longitudinal momenta is small in the waveguide and the wavelength is small in comparison with the width of the orifice, electron waves propagate along classical trajectories. When this ratio or wavelength is large, the substructure in the electron density appears in the vicinity of the reflecting points. The substructure grows with the distance from the orifice and the distance from the orifice to the point where the substructure becomes visible is independent of magnetic field.