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We consider commuting operators obtained by quantization of Hamiltonians of the Hopf (aka dispersionless KdV) hierarchy. Such operators naturally arise in the setting of Symplectic Field Theory (SFT). A complete set of common eigenvectors of these operators is given by Schur polynomials. We use this result for computing the SFT potential of a disk.  © 2015, Springer International Publishing

Symplectic Field Theory of a Disk, Quantum Integrable Systems, and Schur Polynomials