Semi-classical bounds for resolvents of schrödinger operators and asymptotics for scattering phases
- 1 January 1984
- journal article
- research article
- Published by Informa UK Limited in Communications in Partial Differential Equations
- Vol. 9 (10), 1017-1058
- https://doi.org/10.1080/03605308408820355
Abstract
Let be the Schrödinger opera¬tor and denote by R(z;H(h)), Im≠O , the resolvent of H(h). The object of the present paper is twofold: (i) We give semi-classical bounds on the boundary valuesto the positive axis of R(z;H(h)); (ii) As an application of (i), we find the coupleteasymptotics of scattering phases asKeywords
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