Abstract
We consider the angular momentum of a charge q rotating in a homogeneous magnetic field and study the role of the electromagnetic quantum vacuum. Its orbital angular momentum is caused by the recoil of energetic vacuum photons that grows as n^2, i.e. faster than the kinetic angular momentum -2n\hbar of a Landau level.
Highlights
The radiation of the electromagnetic (EM) quantum vacuum is perfectly isotropic and possesses an energy density hωdω3/π 3c03 in the frequency interval dω
The Casimir momentum discussed in Refs. [3,4] is much more akin to the Lamb shift in atomic energy levels, determined by relativistic photons of the quantum vacuum [1], and is better referred to as Lamb momentum
The main objective of this work was to establish the existence of angular momentum of the EM quantum vacuum, induced by the presence of a rotating charge in a magnetic field
Summary
The radiation of the electromagnetic (EM) quantum vacuum is perfectly isotropic and possesses an energy density hωdω3/π 3c03 in the frequency interval dω. Due to its perfect isotropy, the energy current and momentum density of the quantum vacuum vanish. The Poynting vector of the quantum vacuum still vanishes for such media [4], a momentum density emerges that suffers from a divergence at high energies. Any small time variation of this momentum would give rise to a Casimir-type force, and is measurable. This force is fundamentally different from the usual Casimir and Casimir-Polder forces [2], which are both free from high-energy divergences and are essentially caused by low-energy vacuum photons.
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