  Ultracold atomic gases provide a novel platform with which to study
spin-orbit coupling, a mechanism that plays a central role in the nuclear shell
model, atomic fine structure and two-dimensional electron gases. This paper
introduces a theoretical framework that allows for the efficient determination
of the eigenenergies and eigenstates of a harmonically trapped two-atom system
with short-range interaction subject to an equal mixture of Rashba and
Dresselhaus spin-orbit coupling created through Raman coupling of atomic
hyperfine states. Energy spectra for experimentally relevant parameter
combinations are presented and future extensions of the approach are discussed.
