| This thesis discusses the quantum multiple scattering theory of both particle and photon scattering. Chapter 1 provides the outline. Chapter 2 discusses particle scattering by a group of s-wave point scatterers. We present the eigenchannel expansion method, which is based on the Green's function between scatterers and takes into account all orders of multiple scattering effects. Its application to particle scattering by small samples of scatterers, especially the proximity resonance phenomenon, is discussed. Chapters 3 and 4 discuss superradiance—collective spontaneous emission by a group of atoms in radiation field. The discussion is based on the effective dissipative Hamiltonian, which includes the generalized dipole-dipole interaction between atoms. Chapter 5 discusses photon scattering by a group of point two-level atoms in ground state. It can be formulated under either the multiple scattering view or the effective Hamiltonian view. The two views are equivalent, because the Green's function between atoms is closely related to the generalized dipole-dipole interaction. Particle scattering by scatterers can also be formulated under these two equivalent views. There is one-to-one correspondence between particle scattering by a group of s-wave point scatterers and photon scattering by a group of point two-level atoms in ground state. In Chapter 5, we also discuss proximity resonance in photon scattering by small samples of atoms. Chapter 6 explores both particle and photon scattering by large random lattices of scatterers and atoms. |
