The quantum cubic Szegő equation exhibits integer spectra for its Hamiltonian and conserved hierarchies, indicating superintegrability beyond ordinary quantum integrability.
Moll,Exact Bohr-Sommerfeld conditions for the quantum periodic Benjamin-Ono equation,SIGMA 15 (2019) 098, arXiv:1906.07926 [math-ph]
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A superintegrable quantum field theory
The quantum cubic Szegő equation exhibits integer spectra for its Hamiltonian and conserved hierarchies, indicating superintegrability beyond ordinary quantum integrability.