Quantum Electrodynamics with a Nonmoving Dielectric Sphere: Quantizing Lorenz-Mie Scattering

Understand

We quantize the electromagnetic field in the presence of a nonmoving dielectric sphere in vacuum.

• The sphere is assumed to be lossless, dispersionless, isotropic, and homogeneous.
• The quantization is performed using normalized eigenmodes as well as plane-wave modes.
• We specify two useful alternative bases of normalized eigenmodes: spherical eigenmodes and scattering eigenmodes.