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- W2124454992 abstract "H. Fearn and Khai NguyenPhysics DepartmentCalifornia State University Fullerton800 N. State College Blvd., Fullerton CA 92834phone (657) 278 2767email hfearn@fullerton.eduIn 1959 Aharonov and Bohm suggested that an electron passing around a long solenoid wouldpick up a phase shift dependent on the magnetic field of the solenoid, even though the electronsthemselves pass through a region of space which has a zero magnetic field. It has long been heldthat this result is purely quantum and is derived in many well known quantum mechanics text booksusing the Schrodinger equation and vector potential. Here the same phase shift is derived from apurely classical force, but relativistic transformations are taken into account. The force is in thedirection of motion of the electron (or opposite) leading to a phase advance (or lag) and we obtainprecisely the phase shift thought previously to be purely quantum. The only quantum result usedhere is the de Broglie wavelength of the particle, in order to get two slit like interference and thephase shift. We employ a stack of dipoles as the solenoid and note the same force on the electron intwo different frames of reference. We shall consider the solenoid stationary and the electron moving,and then consider the electron rest frame and consider the solenoid moving in the opposite direction." @default.
- W2124454992 created "2016-06-24" @default.
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- W2124454992 date "2011-04-07" @default.
- W2124454992 modified "2023-09-26" @default.
- W2124454992 title "Derivation of the Aharanov Bohm phase shift using classical forces." @default.
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