Abstract
Because magnetic moment is spatial in classical magnetostatics, we progress beyond the axiomatic concept of the point particle electron in physics. Orbital magnetic moment is well grounded in spherical harmonics in a central field. There, quantum numbers are integral. The half-integral spinor moment appears to be due to cylindrical motion in an external applied magnetic field; when this is zero , the spin states are degenerate. Consider lifting the degeneracy by diamagnetism in the cylindrical magnetic field: a uniquely derived electronic magnetic radius shares the identical value to the Compton wavelength.
Highlights
Because magnetic moment is spatial in classical magnetostatics, we progress beyond the axiomatic concept of the point particle electron in physics
The electron is a point particle with intrinsic spin given axiomatically. This representation is unphysical because magnetostatics provides for magnetic moment m described spatially via Ampere’s law so that m = Ias, where I is the current flowing around a loop with surface area as
Dispersion dynamics [3] [6] [7] [8] [9] is based on the formula in special relativity which contains the functional relationship between energy E, momentum p and rest mass mo of a free body, f(E, p, mo) = 0
Summary
Dispersion dynamics [3] [6] [7] [8] [9] is based on the formula in special relativity which contains the functional relationship between energy E, momentum p and rest mass mo of a free body, f(E, p, mo) = 0 In wave mechanics, this translates to f(ω, k, mo, V) = 0, by substitution with angular frequency in Planck’s law; with wave vector in the de Broglie hypothesis; and with potential V < 0 for a bound particle. Priority goes to the direction of propagation x; and this is represented in the stable wave packet by the two-dimensional space-time variable X(x, t) that will be described below To these dimensions are added mass, and electronic charge when electromagnetic interaction is involved. From comparisons between orbital spin and intrinsic spin in the context of the stable wave packet, it will be possible to derive a physical model that is consistent in all three phenomena: orbital spin, intrinsic spin and precessing torques [10]
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