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We refine a method for finding a canonical form for symmetry operators of arbitrary order for the Schroedinger eigenvalue equation on any 2D Riemannian manifold, real or complex, that admits a separation of variables in some orthogonal coordinate system.
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E. G. Kalnins, J. M. Kress, W. Miller Jr., and G. S. Pogosyan. Infinite order symmetries for quantum separable systems. Nuclei. nat
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E. G. Kalnins, W. Miller, Jr, and S. Post. Coupling constant metamorphosis and Nth order symmetries in classical and quantum mechanics. J. Phys. A: Math. Theor. 43 (2010) 035202
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C. Quesne. Superintegrability of the Tremblay-Turbiner-Winternitz quantum Hamiltonians on a plane for odd k k . J. Phys. A: Math. Theor
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