The resonance counting function for Schrödinger operators with generic potentials

T. Christiansen; P. D. Hislop

doi:10.4310/mrl.2005.v12.n6.a4

The resonance counting function for Schrödinger operators with generic potentials

T. Christiansen, P. D. Hislop

Mathematics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We show that the resonance counting function for a Schrödinger operator has maximal order of growth for generic sets of real-valued, or complex-valued, L^∞-compactly supported potentials.

Original language	English
Pages (from-to)	821-826
Number of pages	6
Journal	Mathematical Research Letters
Volume	12
Issue number	5-6
DOIs	https://doi.org/10.4310/mrl.2005.v12.n6.a4
State	Published - 2005

ASJC Scopus subject areas

General Mathematics

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10.4310/mrl.2005.v12.n6.a4

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title = "The resonance counting function for Schr{\"o}dinger operators with generic potentials",

abstract = "We show that the resonance counting function for a Schr{\"o}dinger operator has maximal order of growth for generic sets of real-valued, or complex-valued, L∞-compactly supported potentials.",

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AU - Christiansen, T.

AU - Hislop, P. D.

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AB - We show that the resonance counting function for a Schrödinger operator has maximal order of growth for generic sets of real-valued, or complex-valued, L∞-compactly supported potentials.

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DO - 10.4310/mrl.2005.v12.n6.a4

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SP - 821

EP - 826

JO - Mathematical Research Letters

JF - Mathematical Research Letters

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The resonance counting function for Schrödinger operators with generic potentials

Abstract

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