  We present a general solution for correlators of external boundary operators
in black hole states of Jackiw-Teitelboim gravity. We use the Hilbert space
constructed using the particle-with-spin interpretation of the
Jackiw-Teitelboim action, which consists of wavefunctions defined on Lorentzian
$AdS_2$. The density of states of the gravitational system appears in the
amplitude for a boundary particle to emit and reabsorb matter. Up to
self-interactions of matter, a general correlator can be reduced in an energy
basis to a product of amplitudes for interactions and Wilson polynomials
mapping between boundary and bulk interactions.
