On an Electron in a Magnetostatic Field

Grycko, Eugen GND

It is well known that a voltage is induced in a wire exposed to an alternating magnetic field. The present contribution is guided by the question whether a similar phenomenon can be predicted and observed for a wire in a magnetostatic field. A classical and a semi-classical models describing a valence electron in a metal imply that the electron would not acquire kinetic energy from the field. A computer-supported evaluation of a quantum model suggests, however, that the the second moment of the velocity operator for the electron increases if a stronger magnetostatic field is applied, which motivates an empirical experiment whose outcome seems to confirm the computational quantum phenomenon.

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Grycko, Eugen: On an Electron in a Magnetostatic Field. 2021.

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