On adiabatic perturbation theory for the energy eigenvalue problem
β Scribed by M.A.J. Michels; L.G. Suttorp
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 567 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0378-4371
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π SIMILAR VOLUMES
A basis for the applicability of the formal scheme of adiabatic perturbation theory for systems with impacts is given using the example of three well-known problems, namely, a small sphere between slowly moving walls, rays in a smoothly irregular waveguide with reflecting walls, and an adiabatic pis
There is now a large literature on structured perturbation bounds for eigenvalue problems of the form where H and M are Hermitian. These results give relative error bounds on the ith eigenvalue, Ξ» i , of the form and bound the error in the ith eigenvector in terms of the relative gap, In general,
## Abstract The problem of the perturbation of an operator having a continuous spectrum and an isolated eigenvalue Ξ»~0~ is considered by means of the theory on embedded eigenvalues. The perturbation is divided up into two parts. One part is used for embedding the isolated eigenvalue Ξ»~0~. This embe