منابع مشابه
Perturbation of eigenvalues embedded at a threshold
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.
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This paper is concerned with the perturbation of a multiple eigenvalue μ of the Hermitian matrix A = diag(μI, A22) when it undergoes an off-diagonal Email addresses: [email protected] (Ren-Cang Li), [email protected] (Yuji Nakatsukasa), [email protected] (Ninoslav Truhar), [email protected] (Wei-guo Wang) Supported in part by National Science Foundation Grants DMS-0810506 and DMS1115...
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We study eigenvalue problems for operators H0 + tiP', where the per turbat ion series is finite order by order bu t divergent for any ft. We prove that, under suitable conditions, the series nevertheless determines the level uniquely [and is not merely asymptotic] because some control of the remainder term, RN, uni form in N is present; in fact, for fi real, positive, and small, the perturbat i...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1972
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1972-12959-8