COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Microlocal properties of scattering matrices

## Microlocal properties of scattering matricesAdd to your list(s) Download to your calendar using vCal - Nakamura, S (University of Tokyo)
- Thursday 09 April 2015, 10:00-11:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Periodic and Ergodic Spectral Problems We consider scattering theory for a pair of operators $H_0$ and $H=H_0+V$ on $L^2(M,m)$, where $M$ is a Riemannian manifold, $H_0$ is a multiplication operator on $M$ and $V$ is a pseudodifferential operator of order $-mu$, $mu>1$. We show that a time-dependent scattering theory can be constructed, and the scattering matrix is a pseudodifferential operator on each energy surface. Moreover, the principal symbol of the scattering matrix is given by a Born approximation type function. The main motivation of the study comes from applications to discrete Schr”odigner operators, but it also applies to various differential operators with constant coefficients and short-range perturbations on Euclidean spaces. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsImagers Interest Group Meeting the Challenge of Healthy Ageing in the 21st Century Sociolinguistics Seminar## Other talksMichael Alexander Gage and the mapping of Liverpool, 1828–1836 Pruning and grafting syntactic trees for cross-lingual transfer tasks Speak white, speak black, speak American Skyrmions, Quantum Graphs and Carbon-12 Adrian Seminar: Ensemble coding in amygdala circuits |