1997Modern Physics Letters BRequires access

The Electron Self-Energy in a Classical Spin Model

J. Frenkel, R.B.B. Santos

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Abstract

We discuss a simple model where the electron is approximately described by a rapidly spinning disk of radius λ=ℏ/mc, such that the linear speed at its border is c. We assume that the particle's mass is uniformly distributed over the surface of the disk and its electric charge is strongly peaked around the border. It follows that the spin of the particle must be ℏ/2 and its magnetic moment should have a g factor equal to 2. We show that the electromagnetic self-energy of the particle is given by an expression which is similar to the result obtained in quantum electrodynamics.

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What this paper is about

We discuss a simple model where the electron is approximately described by a rapidly spinning disk of radius λ=ℏ/mc, such that the linear speed at its border is c. We assume that the particle's mass is uniformly distributed over the surface of the disk and its electric charge is strongly peaked around the border. It follows that the spin of the particle must be ℏ/2 and its magnetic moment should have a g factor equal to 2. We show that the electromagnetic self-energy of the particle is given by an expression which is similar to the result obtained in quantum electrodynamics.

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Available abstract

We discuss a simple model where the electron is approximately described by a rapidly spinning disk of radius λ=ℏ/mc, such that the linear speed at its border is c. We assume that the particle's mass is uniformly distributed over the surface of the disk and its electric charge is strongly peaked around the border. It follows that the spin of the particle must be ℏ/2 and its magnetic moment should have a g factor equal to 2. We show that the electromagnetic self-energy of the particle is given by an expression which is similar to the result obtained in quantum electrodynamics.

Key concepts: Physics, Electron, Spin (aerodynamics), RADIUS, Electron magnetic dipole moment, Particle (ecology), Quantum electrodynamics, Charge (physics)

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