Abstract
The scattering of an electron from a thin, shielded solenoid (Aharonov-Bohm effect) is studied by means of the time-dependentGreen's function of the problem. The structure of theGreen's function reveals in a lucid way the nonidentity of canonical and kinetic angular momentum as the origin of the Aharonov-Bohm scattering. The time development of a Gaussian wave packet is studied in some detail to investigate the validity of certain objections against the original work ofAharonov andBohm. In an appendix some results are given for the case of finite radius of the solenoid and finite shielding potential.
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Work supported by the Office of Naval Research. A brief report of this work was given at the Washington meeting of the American Physical Society in April 1962. [Bull. Am. Phys. Soc. 7, 314 (1962)].
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Kretzschmar, M. Aharonov-Bohm scattering of a wave packet of finite extension. Z. Physik 185, 84–96 (1965). https://doi.org/10.1007/BF01381305
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DOI: https://doi.org/10.1007/BF01381305