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This article is cited in 47 scientific papers (total in 47 papers)
Monodromy-free Schrödinger operators with quadratically increasing potentials
A. A. Oblomkov M. V. Lomonosov Moscow State University
Abstract:
We consider one-dimensional monodromy-free Schrödinger operators with quadratically increasing rational potentials. It is shown that all these operators can be obtained from the operator $-\partial^2+x^2$ by finitely many rational Darboux transformations. An explicit expression is found for the corresponding potentials in terms of Hermite polynomials.
Received: 23.03.1999
Citation:
A. A. Oblomkov, “Monodromy-free Schrödinger operators with quadratically increasing potentials”, TMF, 121:3 (1999), 374–386; Theoret. and Math. Phys., 121:3 (1999), 1574–1584
Linking options:
https://www.mathnet.ru/eng/tmf817https://doi.org/10.4213/tmf817 https://www.mathnet.ru/eng/tmf/v121/i3/p374
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