Scattering and inverse scattering in one-dimensional nonhomogeneous media
| dc.contributor | Virginia Tech | en |
| dc.contributor.author | Aktosun, T. | en |
| dc.contributor.author | Klaus, Martin | en |
| dc.contributor.author | van der Mee, Cornelis | en |
| dc.contributor.department | Mathematics | en |
| dc.date.accessed | 2014-03-20 | en |
| dc.date.accessioned | 2014-04-09T18:12:26Z | en |
| dc.date.available | 2014-04-09T18:12:26Z | en |
| dc.date.issued | 1992-05 | en |
| dc.description.abstract | The wave propagation in a one-dimensional nonhomogeneous medium is considered, where the wave speed and the restoring force depend on location. In the frequency domain this is equivalent to the Schrodinger equation d2-psi/dx2 + k2-psi = k2P(x)psi + Q(x)psi with an added potential proportional to energy. The scattering and bound-state solutions of this equation are studied and the properties of the scattering matrix are obtained; the inverse scattering problem of recovering the restoring force when the wave speed and the scattering data are known are also solved. | en |
| dc.description.sponsorship | NSF DMS 9096268 | en |
| dc.description.sponsorship | CNR-GNFM | en |
| dc.identifier.citation | Aktosun, T.; Klaus, M.; Vandermee, C., "Scattering and inverse scattering in one-dimensional nonhomogeneous media," J. Math. Phys. 33, 1717 (1992); http://dx.doi.org/10.1063/1.529650 | en |
| dc.identifier.doi | https://doi.org/10.1063/1.529650 | en |
| dc.identifier.issn | 0022-2488 | en |
| dc.identifier.uri | http://hdl.handle.net/10919/47081 | en |
| dc.identifier.url | http://scitation.aip.org/content/aip/journal/jmp/33/5/10.1063/1.529650 | en |
| dc.language.iso | en_US | en |
| dc.publisher | AIP Publishing | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject | schrodinger-equation | en |
| dc.subject | line | en |
| dc.title | Scattering and inverse scattering in one-dimensional nonhomogeneous media | en |
| dc.title.serial | Journal of Mathematical Physics | en |
| dc.type | Article - Refereed | en |
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