Physics – Mathematical Physics
Scientific paper
2003-09-12
Physics
Mathematical Physics
102 pp
Scientific paper
Inverse scattering and spectral one-dimensional problems are discussed systematically in a self-contained way. Many novel results, due to the author are presented. The classical results are often presented in a new way. Several highlights of the new results include: Analysis of the invertibility of the steps in the Gel'fand-Levitan and Marchenko inversion procedures, Theory of the inverse problem with I-function as the data and its applications; Proof of the property C for ordinary differential operators, numerous applications of property C; Inverse problems with "incomplete" data; Spherically symmetric inverse scattering problem with fixed-energy data: analysis of the Newton-Sabatier (NS) scheme for inversion of fixed-energy phase shifts is given. This analysis shows that the NS scheme is fundamentally wrong, and is not a valid inversion method. Complete presentation of the Krein inverse scattering theory is given. Consistency of this theory is proved. Quarkonium systems; Some new inverse problems for the heat and wave equations. A study of inverse scattering problem for an inhomogeneous Schr\"odinger equation;
No associations
LandOfFree
One-dimensional inverse scattering and spectral problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with One-dimensional inverse scattering and spectral problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and One-dimensional inverse scattering and spectral problems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-230655