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On the Absolutely Continuous Spectrum¶of One-Dimensional Schrödinger Operators¶with Square Summable Potentials

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For continuous and discrete one-dimensional Schrödinger operators with square summable potentials, the absolutely continuous part of the spectrum is essentially supported by [0,∞) and [−2,2] respectively. This fact is proved by considering a priori estimates for the transmission coefficient.

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Received: 30 October 1998 / Accepted: 16 November 1998

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Deift, P., Killip, R. On the Absolutely Continuous Spectrum¶of One-Dimensional Schrödinger Operators¶with Square Summable Potentials. Comm Math Phys 203, 341–347 (1999). https://doi.org/10.1007/s002200050615

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  • DOI: https://doi.org/10.1007/s002200050615

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