On the Quantization of a Self-Dual Integrable System

Details On the Quantization of a Self-Dual Integrable System On the Quantization of a Self-Dual Integrable System

2004-08-24

arxiv.org/abs/math-ph/0408039v1

Journal of Physics A 23 (2001) 6307-6312

Physics

Mathematical Physics

Scientific paper

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 wave function. It is verified that the quantum Hamiltonian is trivially bispectral (that is, that the wave function can be taken to be symmetric) as predicted by a widely held hypothesis of mathematical physics.

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