On the quantization of a self-dual integrable system

In this note, we apply canonical quantization to the self-dual particle system describing the motion of poles to a higher rank solution of the KP hierarchy, explicitly determining both the quantum Hamiltonian and the wavefunction. It is verified that the quantum Hamiltonian is trivially bispectral (thai is, that the wavefunction can be taken to be symmetric) as predicted by a widely held hypothesis of mathematical physics.