Perturbation of eigenvalues embedded at a threshold

Arne Jensen; Michael Melgaard

Perturbation of eigenvalues embedded at a threshold

Arne Jensen, Michael Melgaard

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

9 Citations (Scopus)

Abstract

Results are obtained on perturbation of eigenvalues and half-bound states (zero-resonances) embedded at a threshold. The results are obtained in a two-channel framework for small off-diagonal perturbations. The results are based on given asymptotic expansions of the component Hamiltonians.

Original language	English
Journal	Proceedings of the Royal Society of Edinburgh. Section A Mathematics
Volume	132A
Pages (from-to)	163-179
ISSN	0308-2105
Publication status	Published - 2002

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title = "Perturbation of eigenvalues embedded at a threshold",

abstract = "Results are obtained on perturbation of eigenvalues and half-bound states (zero-resonances) embedded at a threshold. The results are obtained in a two-channel framework for small off-diagonal perturbations. The results are based on given asymptotic expansions of the component Hamiltonians.",

author = "Arne Jensen and Michael Melgaard",

year = "2002",

language = "English",

volume = "132A",

pages = "163--179",

journal = "Proceedings of the Royal Society of Edinburgh. Section A Mathematics",

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AU - Jensen, Arne

AU - Melgaard, Michael

PY - 2002

Y1 - 2002

N2 - Results are obtained on perturbation of eigenvalues and half-bound states (zero-resonances) embedded at a threshold. The results are obtained in a two-channel framework for small off-diagonal perturbations. The results are based on given asymptotic expansions of the component Hamiltonians.

AB - Results are obtained on perturbation of eigenvalues and half-bound states (zero-resonances) embedded at a threshold. The results are obtained in a two-channel framework for small off-diagonal perturbations. The results are based on given asymptotic expansions of the component Hamiltonians.

M3 - Journal article

SN - 0308-2105

VL - 132A

SP - 163

EP - 179

JO - Proceedings of the Royal Society of Edinburgh. Section A Mathematics

JF - Proceedings of the Royal Society of Edinburgh. Section A Mathematics

ER -