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We present an exact quantum observable analog of the weak equivalenceprinciple for a `relativistic' quantum particle. The quantum geodesic equationsare obtained from Heisenberg equations of motion as an exact analog of a fullycovariant classical Hamiltonian evolution picture, with the properidentification of the canonical momentum variables as $p_\mu$, rather than$p^\mu$. We discuss the meaning of the equations in relation to projectivemeasurements as well as equations with solution curves as ones in thenoncommutative geometric picture of spacetime, and a plausible approach toquantum gravity as a theory about quantum observables as physical quantitiesincluding the notion of quantum coordinate transformation.

Equivalence Principle for Quantum Mechanics in the Heisenberg Picture