On the Electron Diffraction by Flux Lines

抄録

A theory of electron-diffraction at magnetic flux lines is presented. For a flux line with an infinitesimal radius, a good approximation to Aharonov and Bohm’s results is obtained by the use of Kirchhoff’s diffraction theory. Then, diffraction in a crystal having a flux line with a finite radius is treated by the method of eikonal functions similar to that used in Kato’s diffraction theory for imperfect crystals. The trajectory of the electron which is derived from Fermat’s principle has properties familiar in solid state physics. The possibilities of observing flux lines in type-II superconductors are discussed.