Asymptotics of resonances for 1D Stark operators View Full Text


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Article Info

DATE

2017-11-24

AUTHORS

Evgeny L. Korotyaev

ABSTRACT

We consider the Stark operator perturbed by a compactly supported potential on the real line. We determine the forbidden domain for resonances, asymptotics of resonances at high energy and asymptotics of the resonance counting function for large radius.

PAGES

1307-1322

References to SciGraph publications

  • 1986. Commutator methods and asymptotic completeness for one - dimensional Stark effect Hamiltonians in SCHRÖDINGER OPERATORS, AARHUS 1985
  • 1985-06. Existence of Stark ladder resonances in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1978-09. Inverse spectral problem for the one-dimensional Schrödinger equation with an additional linear potential in LETTERE AL NUOVO CIMENTO (1971-1985)
  • 1991-11. The method of transformation operators in the inverse scattering problem. The one-dimensional stark effect in JOURNAL OF MATHEMATICAL SCIENCES
  • 1979-10. Dilation analyticity in constant electric field in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1989-06. Inverse scattering problem for one-dimensional Schrödinger operators related to the general stark effect in ACTA MATHEMATICAE APPLICATAE SINICA, ENGLISH SERIES
  • 1981-03. The stark ladder and other one-dimensional external field problems in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2016-11-22. Estimates of 1D resonances in terms of potentials in JOURNAL D'ANALYSE MATHÉMATIQUE
  • 1999-12. Bounds on Scattering Poles in One Dimension in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2009-10-09. On the Inverse Resonance Problem for Schrödinger Operators in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1984-11. Resonances of a hill operator, perturbed by an exponentially decreasing additive potential in MATHEMATICAL NOTES
  • 1986-03. Asymptotic completeness for a new class of Stark effect Hamiltonians in COMMUNICATIONS IN MATHEMATICAL PHYSICS
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    http://scigraph.springernature.com/pub.10.1007/s11005-017-1033-0

    DOI

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