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Extending previous work on 2 -- and 3 -- point functions, we study the 4 --point function and its conformal block structure in conformal quantum mechanicsCFT$_1$, which realizes the SO(2,1) symmetry group. Conformal covariance ispreserved even though the operators with which we work need not be primary andthe states are not conformally invariant. We find that only one conformal blockcontributes to the four-point function. We describe some further properties ofthe states that we use and we construct dynamical evolution generated by thecompact generator of SO(2.1).

Conformal Blocks for the 4-Point Function in Conformal Quantum Mechanics