Pointwise estimates of eigenfunctions for Schrödinger operators
✍ Scribed by N.W. Bazley; H.R. Fankhauser
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 154 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0009-2614
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📜 SIMILAR VOLUMES
## Abstract The zero set {__z__∈ℝ^2^:ψ(__z__)=0} of an eigenfunction ψ of the Schrödinger operator ℒ︁~__V__~=(i∇+**A**)^2^+__V__ on __L__^2^(ℝ^2^) with an Aharonov–Bohm‐type magnetic potential is investigated. It is shown that, for the first eigenvalue λ~1~ (the ground state energy), the following
## Abstract For semiclassical Schrödinger 2×2–matrix operators, the symbol of which has crossing eigenvalues, we investigate the semiclassical Mourre theory to derive bounds __O__(__h__^−1^) (__h__ being the semiclassical parameter) for the boundary values of the resolvent, viewed as bounded operat