Thresholds properties for matrix-valued Schrödinger operators

Melgaard, Michael (2005) Thresholds properties for matrix-valued Schrödinger operators. Journal of Mathematical Physics, 46 (8). 083507. ISSN 0022-2488

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Abstract

We present some results on the perturbation of eigenvalues
embedded at a threshold for a two-channel Hamiltonian with
three-dimensional Schr\"{o}dinger operators as entries and
with a small off-diagonal perturbation. In particular, we
show how the threshold eigenvalue gives rise to discrete
eigenvalues below the threshold and, moreover, we establish
a criterion on existence of half-bound states
associated with embedded pseudo eigenvalues.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
Related URLs:
Depositing User: Michael Melgaard
Date Deposited: 19 Sep 2013 11:39
Last Modified: 19 Sep 2013 11:39
URI: http://sro.sussex.ac.uk/id/eprint/46384
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