Classical Electrodynamics

Casimir-Polder repulsion: Polarizable atoms, cylinders, spheres, and ellipsoids

“…(2.1). The TE contribution is, in fact, the coupling between the electric polarizability of the atom and the magnetic polarizability of the sphere α sp,M = − a 3 2 1 [19]. To see this, we first remind the reader of the CP interaction between isotropic atoms possessing both electric and magnetic polarizabilities [20],…”

Effective Electromagnetic Interaction Potential in Flat and Curved Spacetimes

“…The first term U C is the Coulomb interaction and the correction term U B , known as the Breit interaction, has a direct classical analog in the retarded electromagnetic interaction between two charged point particles known as the Darwin Hamiltonian [8]. The equation (11), known as the Breit approximation, is very useful in the calculations of energy shifts for many particles systems.…”

Limits on production of magnetic monopoles utilizing samples from the D0 and CDF detectors at the Fermilab Tevatron

“…These models predict, as summarized in Ref. [33], that binding should occur for 27 Al (100% natural abundance) and 207 Pb (22% natural) but not for 9 Be (100% natural). However, the estimated binding energies, e.g., 0.5-2.5 MeV for aluminum, are large and comparable to shell model splittings, so we believe that in the presence of the monopole the nucleus will undergo nuclear rearrangement and binding should in general result, even for 9 Be.…”

“…The velocity dependence of this force cancels the 1/(velocity) 2 dependence of the usual charged particle dE/dx. Either classically [27], quantum mechanically [34], or field theoretically [35], approximately one simply substitutes (gβ) 2 for (ze) 2 in the usual charged particle dE/dx formula. Kazama, Yang, and Goldhaber [36] [37,38] has used this crosssection to obtain the following expression for monopole stopping power: 1) where N e is the number density of electrons, I is the mean ionization energy, K(|n|) = 0.406 (0.346) is the Kazama, Yang and Goldhaber correction for magnetic charge n = 1 (n ≥ 2) respectively, δ is the usual density correction and B(|n|) = 0.248 (0.672, 1.022, 1.685) is the Bloch correction for n = 1 (n = 2, 3, 6), respectively [39].…”

“…The sensor's input coil inductance L 3 is measured to be of order 1.8 µH (see Table I). The inductance L 2 is zero, and L 1 (of order 1 µH) is calculated from the standard formula [27,28]:…”