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Stability of bound states of Hamiltonian PDEs in the degenerate cases

✍ Scribed by Masaya Maeda

Book ID: 113710312
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 169 KB
Volume: 263
Category: Article
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2012.04.006

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## Abstract An adiabatic formula for the contracted Hamiltonian in a reference space containing bound‐state eigenfunctions of degenerate energy levels embedded in the continuum is derived. A general factorization theorem for the dynamic operator__S__~α~(0, – ∞/λ) is proved, and the cancellation of