Instability of Resonances Under Stark Perturbations View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-02

AUTHORS

Arne Jensen, Kenji Yajima

ABSTRACT

Let Hε=-d2dx2+εx+V, ε≥0, on L2(R). Let V=∑k=1Nck|ψk⟩⟨ψk| be a rank N operator, where the ψk∈L2(R) are real, compactly supported, and even. Resonances are defined using analytic scattering theory. The main result is that if ζn, Imζn<0, are resonances of Hεn for a sequence εn↓0 as n→∞ and ζn→ζ0 as n→∞, Imζ0<0, then ζ0 is not a resonance of H0. More... »

PAGES

1-13

References to SciGraph publications

  • 2015-12. Instability of Pre-Existing Resonances Under a Small Constant Electric Field in ANNALES HENRI POINCARÉ
  • 2018-05. Asymptotics of resonances for 1D Stark operators in LETTERS IN MATHEMATICAL PHYSICS
  • Journal

    TITLE

    Annales Henri Poincaré

    ISSUE

    N/A

    VOLUME

    N/A

    From Grant

  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00023-018-0746-7

    DOI

    http://dx.doi.org/10.1007/s00023-018-0746-7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1110555693


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