Published 1987
| Version v1
Journal article
Semi-classical estimates resolvents and asymptotics for total scattering cross-sections
Description
We study the semi-classical asymptotic behavior as h → 0 of total scattering cross-sections for Schroedinger operators -(1/2)h2Δ+V, when energies are fixed in non-trapping energy ranges. The proof is based on the semi-classical estimates for resolvents and the argument applies to the asymptotics for forward scattering amplitudes
Additional details
Publishing Information
- Journal Title
- Ann. Inst. Henri Poincare Phys. Theor.
- Journal Volume
- 46
- Journal Issue
- 4
- Series
- Ann. Inst. Henri Poincare Phys. Theor.
- Journal Page Range
- 415-442
- ISSN
- 0246-0211
- CODEN
- AIPTE
INIS
- Country of Publication
- France
- Country of Input or Organization
- France
- INIS RN
- 19009586
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY CONDITIONS; QUANTUM OPERATORS; SCATTERING; SCHROEDINGER EQUATION; SEMICLASSICAL APPROXIMATION; TOTAL CROSS SECTIONS
- Descriptors DEC
- CROSS SECTIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS