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The quantum Sturm-Liouville equation, quantum resolvent, quantum integrals, and quantum KdV: The fast decrease case

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We construct quantum operators solving the quantum versions of the Sturm-Liouville equation and the resolvent equation, and show the existence of conserved currents. The construction depends on the following input data: the basic quantum field O(k) and the regularization.

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Zyskin, M. The quantum Sturm-Liouville equation, quantum resolvent, quantum integrals, and quantum KdV: The fast decrease case. Lett Math Phys 36, 427–439 (1996). https://doi.org/10.1007/BF00714407

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