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Semiclassical analysis of low and zero energy scattering for one-dimensional Schrödinger operators with inverse square potentials |
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| Authors: | Ovidiu Costin Wolfgang Staubach |
| Affiliation: | a Department of Mathematics, The Ohio State University 100 Math Tower, 231 West 18th Avenue, Columbus, OH 43210-1174, USA b The University of Chicago, 5734 South University Avenue, Chicago, IL 60637, USA c Department of Mathematics, Colin Maclaurin Building, Heriot-Watt University, Edinburgh, EH14 4AS, UK |
| Abstract: | This paper studies the scattering matrix S(E;?) of the problem −?2ψ″(x)+V(x)ψ(x)=Eψ(x) |
| Keywords: | Schrö dinger operators Scattering matrix Zero energy scattering Modified WKB Inverse square potential |
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