Density profile of multi-state fuzzy dark matter

Understand

Equations of motion for excited states of weakly self-interacting bosons forming fuzzy dark matter are solved using the WKB approximation.

• The contribution of self-interactions are neglected in the equations of motion.
• Wave functions of excited states are expressed in terms of a yet undetermined gravitational potential.
• At equilibrium, the contributions of states to the density distribution are summed using Bose-Einstein statistics.