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The Schrödinger operator with a weakly accelerating potential

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Abstract

The ideas of scattering theory are applied to the construction of a unitary operator realizing the similarity of the operator - id/dξ in L2(ℝ) with a one-dimensional Schrödinger operator on the semiaxis with potential v(x), admitting at infinity the estimate

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Literature cited

  1. M. V. Buslaeva, “One-dimensional Schrödinger operator with accelerating potential,” Funkts. Anal. Prilozhen.,18, No. 1, 65–66 (1984).

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  1. M. V. Buslaeva
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 147, pp. 10–12, 1985.

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Buslaeva, M.V. The Schrödinger operator with a weakly accelerating potential. J Math Sci 37, 797–798 (1987). https://doi.org/10.1007/BF01387718

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  • DOI: https://doi.org/10.1007/BF01387718

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