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We consider commuting operators obtained by quantization of Hamiltonians ofthe Hopf (aka dispersionless KdV) hierarchy. Such operators naturally arise inthe setting of Symplectic Field Theory (SFT). A complete set of commoneigenvectors of these operators is given by Schur polynomials. We use thisresult for computing the SFT potential of a disk.

Symplectic field theory of a disk, quantum integrable systems, and Schur polynomials