2D PARTICLE IN UNIFORM CROSSED E, B FIELDS - CONTINUOUS-SPECTRUM, DISCRETE OPTICAL-TRANSITION RULES
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Date
1991
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Abstract
A charged particle constrained to move in two dimensions in the presence of a perpendicular magnetic field has a discrete energy spectrum. Observed from a moving frame, however, the spectrum is continuous. We show that emission and absorption of photons differ in both frames by a Doppler shift only and that the allowed frequencies are grouped in bands of width proportional to the Compton wavelength.